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22042313504 = 252931774929
BaseRepresentation
bin10100100001110100…
…110000001100100000
32002220011111112200122
4110201310300030200
5330120313013004
614043123135412
71410141400451
oct244164601440
962804445618
1022042313504
119391347422
124331b14568
132103848873
1410d1637128
158901dacbe
hex521d30320

22042313504 has 48 divisors (see below), whose sum is σ = 45034428600. Its totient is φ = 10607407104.

The previous prime is 22042313479. The next prime is 22042313507. The reversal of 22042313504 is 40531324022.

It can be written as a sum of positive squares in 4 ways, for example, as 19670623504 + 2371690000 = 140252^2 + 48700^2 .

It is not an unprimeable number, because it can be changed into a prime (22042313507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256712 + ... + 331640.

Almost surely, 222042313504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22042313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517214300).

22042313504 is an abundant number, since it is smaller than the sum of its proper divisors (22992115096).

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

22042313504 is a wasteful number, since it uses less digits than its factorization.

22042313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75285 (or 75277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 22042313504 its reverse (40531324022), we get a palindrome (62573637526).

The spelling of 22042313504 in words is "twenty-two billion, forty-two million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 317 464 634 928 1268 2536 5072 9193 10144 18386 36772 73544 74929 147088 149858 294176 299716 599432 1198864 2172941 2397728 4345882 8691764 17383528 23752493 34767056 47504986 69534112 95009972 190019944 380039888 688822297 760079776 1377644594 2755289188 5510578376 11021156752 22042313504