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22730386756 = 2272114892
BaseRepresentation
bin10101001010110101…
…100010110101000100
32011200010020021202011
4111022311202311010
5333022434334011
614235303024004
71433165046100
oct251265426504
964603207664
1022730386756
119704790000
1244a443b004
1321b32703bc
141158b88900
158d0804621
hex54ad62d44

22730386756 has 135 divisors (see below), whose sum is σ = 51477844845. Its totient is φ = 8756489280.

The previous prime is 22730386733. The next prime is 22730386759. The reversal of 22730386756 is 65768303722.

The square root of 22730386756 is 150766.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4364716356 + 18365670400 = 66066^2 + 135520^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (22730386759) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 255397560 + ... + 255397648.

Almost surely, 222730386756 is an apocalyptic number.

22730386756 is the 150766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22730386756

22730386756 is an abundant number, since it is smaller than the sum of its proper divisors (28747458089).

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

22730386756 is an frugal number, since it uses more digits than its factorization.

22730386756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

Multiplying 22730386756 by its sum of digits (49), we get a square (1113788951044 = 10553622).

22730386756 divided by its sum of digits (49) gives a square (463885444 = 215382).

The spelling of 22730386756 in words is "twenty-two billion, seven hundred thirty million, three hundred eighty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 89 98 121 154 178 196 242 308 356 484 539 623 847 979 1078 1246 1331 1694 1958 2156 2492 2662 3388 3916 4361 5324 5929 6853 7921 8722 9317 10769 11858 13706 14641 15842 17444 18634 21538 23716 27412 29282 31684 37268 43076 47971 55447 58564 65219 75383 87131 95942 102487 110894 118459 130438 150766 174262 191884 204974 221788 236918 260876 301532 348524 388129 409948 473836 527681 609917 717409 776258 829213 958441 1055362 1219834 1303049 1434818 1552516 1658426 1916882 2110724 2439668 2606098 2869636 3316852 3833764 4269419 5212196 5804491 6709087 8538838 9121343 10542851 11608982 13418174 17077676 18242686 21085702 23217964 26836348 36485372 42171404 46963609 63849401 73799957 93927218 115971361 127698802 147599914 187854436 231942722 255397604 295199828 463885444 516599699 811799527 1033199398 1623599054 2066398796 3247198108 5682596689 11365193378 22730386756