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22243815152 = 2413223393517
BaseRepresentation
bin10100101101110101…
…011010111011110000
32010102012122212222122
4110231311122323300
5331023404041102
614115122053412
71415136211016
oct245565327360
963365585878
1022243815152
119485065609
1243894aa268
13213650a500
1411102ca8b6
158a2c400a2
hex52dd5aef0

22243815152 has 60 divisors (see below), whose sum is σ = 46700816760. Its totient is φ = 10259069184.

The previous prime is 22243815151. The next prime is 22243815173. The reversal of 22243815152 is 25151834222.

It is a super-4 number, since 4×222438151524 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22243815151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6322898 + ... + 6326414.

It is an arithmetic number, because the mean of its divisors is an integer number (778346946).

Almost surely, 222243815152 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 22243815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350408380).

22243815152 is an abundant number, since it is smaller than the sum of its proper divisors (24457001608).

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

22243815152 is a wasteful number, since it uses less digits than its factorization.

22243815152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5871 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The spelling of 22243815152 in words is "twenty-two billion, two hundred forty-three million, eight hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2339 2704 3517 4678 7034 9356 14068 18712 28136 30407 37424 45721 56272 60814 91442 121628 182884 243256 365768 395291 486512 594373 731536 790582 1188746 1581164 2377492 3162328 4754984 6324656 8226263 9509968 16452526 32905052 65810104 106941419 131620208 213882838 427765676 855531352 1390238447 1711062704 2780476894 5560953788 11121907576 22243815152