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2224566032 = 241353373541
BaseRepresentation
bin1000010010011000…
…0010111100010000
312202000220122220112
42010212002330100
514023442103112
61004424100452
7106061333153
oct20446027420
95660818815
102224566032
11a41789427
12521004728
13295b53180
14171633c9a
15d0470a22
hex84982f10

2224566032 has 80 divisors (see below), whose sum is σ = 4750664688. Its totient is φ = 1002792960.

The previous prime is 2224566023. The next prime is 2224566073. The reversal of 2224566032 is 2306654222.

It can be written as a sum of positive squares in 8 ways, for example, as 27206656 + 2197359376 = 5216^2 + 46876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2224566032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111682 + ... + 4112222.

Almost surely, 22224566032 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 2224566032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375332344).

2224566032 is an abundant number, since it is smaller than the sum of its proper divisors (2526098656).

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

2224566032 is a wasteful number, since it uses less digits than its factorization.

2224566032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2224566032 is about 47165.3053843607. The cubic root of 2224566032 is about 1305.4145044411.

The spelling of 2224566032 in words is "two billion, two hundred twenty-four million, five hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 373 424 541 689 746 848 1082 1378 1492 2164 2756 2984 4328 4849 5512 5968 7033 8656 9698 11024 14066 19396 19769 28132 28673 38792 39538 56264 57346 77584 79076 112528 114692 158152 201793 229384 256997 316304 372749 403586 458768 513994 745498 807172 1027988 1490996 1614344 2055976 2623309 2981992 3228688 4111952 5246618 5963984 10493236 10695029 20986472 21390058 41972944 42780116 85560232 139035377 171120464 278070754 556141508 1112283016 2224566032