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23222001312 = 253280631949
BaseRepresentation
bin10101101000001000…
…111001111010100000
32012221101021220010200
4111220020321322200
5340024313020222
614400144025200
71451314516506
oct255010717240
965841256120
1023222001312
11993723a324
124601002200
13226107a7a3
1411a419a676
1590da62eac
hex568239ea0

23222001312 has 36 divisors (see below), whose sum is σ = 66037567050. Its totient is φ = 7740667008.

The previous prime is 23222001293. The next prime is 23222001317. The reversal of 23222001312 is 21310022232.

It can be written as a sum of positive squares in only one way, i.e., 22944978576 + 277022736 = 151476^2 + 16644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×232220013122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23222001317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40315687 + ... + 40316262.

Almost surely, 223222001312 is an apocalyptic number.

It is an amenable number.

23222001312 is an abundant number, since it is smaller than the sum of its proper divisors (42815565738).

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

23222001312 is a wasteful number, since it uses less digits than its factorization.

23222001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80631965 (or 80631954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23222001312 its reverse (21310022232), we get a palindrome (44532023544).

The spelling of 23222001312 in words is "twenty-three billion, two hundred twenty-two million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80631949 161263898 241895847 322527796 483791694 645055592 725687541 967583388 1290111184 1451375082 1935166776 2580222368 2902750164 3870333552 5805500328 7740667104 11611000656 23222001312