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22212641472 = 263734747629
BaseRepresentation
bin10100101011111110…
…100000001011000000
32010100001000002201220
4110223332200023000
5330442414011342
614112045555040
71414310223450
oct245376401300
963301002656
1022212641472
11946950333a
12437ab75a80
13212cc14248
14110a0d3d60
158a01335ec
hex52bfa02c0

22212641472 has 112 divisors (see below), whose sum is σ = 67361775360. Its totient is φ = 6328046592.

The previous prime is 22212641461. The next prime is 22212641527. The reversal of 22212641472 is 27414621222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×222126414722 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442554 + ... + 490182.

Almost surely, 222212641472 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 22212641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33680887680).

22212641472 is an abundant number, since it is smaller than the sum of its proper divisors (45149133888).

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

22212641472 is a wasteful number, since it uses less digits than its factorization.

22212641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47998 (or 47988 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The spelling of 22212641472 in words is "twenty-two billion, two hundred twelve million, six hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 347 448 672 694 1041 1344 1388 2082 2429 2776 4164 4858 5552 7287 8328 9716 11104 14574 16656 19432 22208 29148 33312 38864 47629 58296 66624 77728 95258 116592 142887 155456 190516 233184 285774 333403 381032 466368 571548 666806 762064 1000209 1143096 1333612 1524128 2000418 2286192 2667224 3048256 4000836 4572384 5334448 8001672 9144768 10668896 16003344 16527263 21337792 32006688 33054526 49581789 64013376 66109052 99163578 115690841 132218104 198327156 231381682 264436208 347072523 396654312 462763364 528872416 694145046 793308624 925526728 1057744832 1388290092 1586617248 1851053456 2776580184 3173234496 3702106912 5553160368 7404213824 11106320736 22212641472