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22234301144 = 23111919496823
BaseRepresentation
bin10100101101010001…
…001000001011011000
32010101112202112012222
4110231101020023120
5331013440114034
614114142123212
71414662304256
oct245521101330
963345675188
1022234301144
11947a7575a0
124386280508
132134558c13
14110cd315d6
158a1eb112e
hex52d4482d8

22234301144 has 64 divisors (see below), whose sum is σ = 47904480000. Its totient is φ = 9568264320.

The previous prime is 22234301143. The next prime is 22234301179. The reversal of 22234301144 is 44110343222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234301143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255317 + ... + 3262139.

It is an arithmetic number, because the mean of its divisors is an integer number (748507500).

Almost surely, 222234301144 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 22234301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952240000).

22234301144 is an abundant number, since it is smaller than the sum of its proper divisors (25670178856).

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

22234301144 is a wasteful number, since it uses less digits than its factorization.

22234301144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22234301144 its reverse (44110343222), we get a palindrome (66344644366).

The spelling of 22234301144 in words is "twenty-two billion, two hundred thirty-four million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 1949 3898 6823 7796 13646 15592 21439 27292 37031 42878 54584 74062 75053 85756 129637 148124 150106 171512 259274 296248 300212 407341 518548 600424 814682 1037096 1426007 1629364 2852014 3258728 5704028 11408056 13298027 26596054 53192108 106384216 146278297 252662513 292556594 505325026 585113188 1010650052 1170226376 2021300104 2779287643 5558575286 11117150572 22234301144