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222055232 = 2673159271
BaseRepresentation
bin11010011110001…
…00101101000000
3120110211120111212
431033010231000
5423321231412
634011225252
75334303230
oct1517045500
9513746455
10222055232
11104387423
1262448228
133700a039
14216c3cc0
1514764222
hexd3c4b40

222055232 has 112 divisors (see below), whose sum is σ = 530595840. Its totient is φ = 90201600.

The previous prime is 222055199. The next prime is 222055237. The reversal of 222055232 is 232550222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 222055198 and 222055207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222055237) 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, 819257 + ... + 819527.

Almost surely, 2222055232 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 222055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265297920).

222055232 is an abundant number, since it is smaller than the sum of its proper divisors (308540608).

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

222055232 is a wasteful number, since it uses less digits than its factorization.

222055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 222055232 is about 14901.5177750456. The cubic root of 222055232 is about 605.5551055719. Note that the first 3 decimals are identical.

The spelling of 222055232 in words is "two hundred twenty-two million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 59 62 64 112 118 124 217 224 236 248 271 413 434 448 472 496 542 826 868 944 992 1084 1652 1736 1829 1888 1897 1984 2168 3304 3472 3658 3776 3794 4336 6608 6944 7316 7588 8401 8672 12803 13216 13888 14632 15176 15989 16802 17344 25606 26432 29264 30352 31978 33604 51212 58528 58807 60704 63956 67208 102424 111923 117056 117614 121408 127912 134416 204848 223846 235228 255824 268832 409696 447692 470456 495659 511648 537664 819392 895384 940912 991318 1023296 1790768 1881824 1982636 3469613 3581536 3763648 3965272 6939226 7163072 7930544 13878452 15861088 27756904 31722176 55513808 111027616 222055232