Search a number
-
+
224100523050040 = 23571367918896683
BaseRepresentation
bin110010111101000101111000…
…000100100000010000111000
31002101110210121202122022011201
4302331011320010200100320
5213333130332400100130
62112342205315303544
765126504605226350
oct6275057004402070
91071423552568151
10224100523050040
1165450552a7830a
12211742238aabb4
139807786343630
143d4a7478b7b60
151ad957eed7bca
hexcbd178120438

224100523050040 has 128 divisors (see below), whose sum is σ = 629848543080960. Its totient is φ = 69865552525824.

The previous prime is 224100523050013. The next prime is 224100523050049. The reversal of 224100523050040 is 40050325001422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224100523049990 and 224100523050008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224100523050049) 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 31 ways as a sum of consecutive naturals, for example, 459204462 + ... + 459692221.

It is an arithmetic number, because the mean of its divisors is an integer number (4920691742820).

Almost surely, 2224100523050040 is an apocalyptic number.

224100523050040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224100523050040 is an abundant number, since it is smaller than the sum of its proper divisors (405748020030920).

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

224100523050040 is a wasteful number, since it uses less digits than its factorization.

224100523050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918896781 (or 918896777 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 224100523050040 its reverse (40050325001422), we get a palindrome (264150848051462).

The spelling of 224100523050040 in words is "two hundred twenty-four trillion, one hundred billion, five hundred twenty-three million, fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 67 70 91 104 130 134 140 182 260 268 280 335 364 455 469 520 536 670 728 871 910 938 1340 1742 1820 1876 2345 2680 3484 3640 3752 4355 4690 6097 6968 8710 9380 12194 17420 18760 24388 30485 34840 48776 60970 121940 243880 918896683 1837793366 3675586732 4594483415 6432276781 7351173464 9188966830 11945656879 12864553562 18377933660 23891313758 25729107124 32161383905 36755867320 47782627516 51458214248 59728284395 61566077761 64322767810 83619598153 95565255032 119456568790 123132155522 128645535620 167239196306 238913137580 246264311044 257291071240 307830388805 334478392612 418097990765 430962544327 477826275160 492528622088 615660777610 668956785224 800359010893 836195981530 861925088654 1231321555220 1600718021786 1672391963060 1723850177308 2154812721635 2462643110440 3201436043572 3344783926120 3447700354616 4001795054465 4309625443270 5602513076251 6402872087144 8003590108930 8619250886540 11205026152502 16007180217860 17238501773080 22410052305004 28012565381255 32014360435720 44820104610008 56025130762510 112050261525020 224100523050040