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23131222440 = 23351929349837
BaseRepresentation
bin10101100010101110…
…100111000110101000
32012201001110211221020
4111202232213012220
5334333043104230
614343142212440
71446133101204
oct254256470650
965631424836
1023131222440
11989aa76867
124596724120
132248315191
1411960c9b04
15905ad0810
hex562ba71a8

23131222440 has 128 divisors (see below), whose sum is σ = 75565008000. Its totient is φ = 5642155008.

The previous prime is 23131222409. The next prime is 23131222447. The reversal of 23131222440 is 4422213132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23131222440.

It is not an unprimeable number, because it can be changed into a prime (23131222447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108799 + ... + 241038.

It is an arithmetic number, because the mean of its divisors is an integer number (590351625).

Almost surely, 223131222440 is an apocalyptic number.

23131222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23131222440 is an abundant number, since it is smaller than the sum of its proper divisors (52433785560).

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

23131222440 is a wasteful number, since it uses less digits than its factorization.

23131222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349899 (or 349895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23131222440 its reverse (4422213132), we get a palindrome (27553435572).

The spelling of 23131222440 in words is "twenty-three billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3306 3480 4408 5510 6612 8265 11020 13224 16530 22040 33060 66120 349837 699674 1049511 1399348 1749185 2099022 2798696 3498370 4198044 5247555 6646903 6996740 8396088 10145273 10495110 13293806 13993480 19940709 20290546 20990220 26587612 30435819 33234515 39881418 40581092 41980440 50726365 53175224 60871638 66469030 79762836 81162184 99703545 101452730 121743276 132938060 152179095 159525672 192760187 199407090 202905460 243486552 265876120 304358190 385520374 398814180 405810920 578280561 608716380 771040748 797628360 963800935 1156561122 1217432760 1542081496 1927601870 2313122244 2891402805 3855203740 4626244488 5782805610 7710407480 11565611220 23131222440