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22523111002420 = 2257231857865087
BaseRepresentation
bin1010001111100000100100…
…00001111101000100110100
32221202012002022221122010221
411013300102001331010310
510423004312404034140
6115522550243224124
74513145454464200
oct507602201750464
987665068848127
1022523111002420
1171a3aa7a91516
122639168378044
13c74bc6a4b722
1457c1a5475b00
15290d278d114a
hex147c1207d134

22523111002420 has 144 divisors (see below), whose sum is σ = 56861943570432. Its totient is φ = 7464377249280.

The previous prime is 22523111002387. The next prime is 22523111002423. The reversal of 22523111002420 is 2420011132522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22523111002423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25603117 + ... + 26468203.

It is an arithmetic number, because the mean of its divisors is an integer number (394874608128).

Almost surely, 222523111002420 is an apocalyptic number.

22523111002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22523111002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28430971785216).

22523111002420 is an abundant number, since it is smaller than the sum of its proper divisors (34338832568012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22523111002420 is a wasteful number, since it uses less digits than its factorization.

22523111002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865998 (or 865989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22523111002420 its reverse (2420011132522), we get a palindrome (24943122134942).

The spelling of 22523111002420 in words is "twenty-two trillion, five hundred twenty-three billion, one hundred eleven million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 857 868 980 1085 1519 1714 2170 3038 3428 4285 4340 5999 6076 7595 8570 11998 15190 17140 23996 26567 29995 30380 41993 53134 59990 83986 106268 119980 132835 167972 185969 209965 265670 371938 419930 531340 743876 839860 865087 929845 1301783 1730174 1859690 2603566 3460348 3719380 4325435 5207132 6055609 6508915 8650870 12111218 13017830 17301740 24222436 26035660 26817697 30278045 42389263 53635394 60556090 84778526 107270788 121112180 134088485 169557052 187723879 211946315 268176970 375447758 423892630 536353940 741379559 750895516 847785260 938619395 1314067153 1482759118 1877238790 2628134306 2965518236 3706897795 3754477580 5189656913 5256268612 6570335765 7413795590 10379313826 13140671530 14827591180 20758627652 22982766329 25948284565 26281343060 36327598391 45965532658 51896569130 72655196782 91931065316 103793138260 114913831645 145310393564 160879364303 181637991955 229827663290 321758728606 363275983910 459655326580 643517457212 726551967820 804396821515 1126155550121 1608793643030 2252311100242 3217587286060 4504622200484 5630777750605 11261555501210 22523111002420