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2213047872 = 26337182957
BaseRepresentation
bin1000001111101000…
…0110111001000000
312201020020110222000
42003322012321000
514013020012442
61003333144000
7105561411420
oct20372067100
95636213860
102213047872
11a36231692
1251918b000
1329364c5a9
1416dcb6480
15ce447d4c
hex83e86e40

2213047872 has 112 divisors (see below), whose sum is σ = 7435413120. Its totient is φ = 632295936.

The previous prime is 2213047867. The next prime is 2213047873. The reversal of 2213047872 is 2787403122.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2213047873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79383 + ... + 103574.

Almost surely, 22213047872 is an apocalyptic number.

It is an amenable number.

2213047872 is an abundant number, since it is smaller than the sum of its proper divisors (5222365248).

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

2213047872 is a wasteful number, since it uses less digits than its factorization.

2213047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182985 (or 182969 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2213047872 is about 47043.0427587332. The cubic root of 2213047872 is about 1303.1575850451.

The spelling of 2213047872 in words is "two billion, two hundred thirteen million, forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 182957 365914 548871 731828 1097742 1280699 1463656 1646613 2195484 2561398 2927312 3293226 3842097 4390968 4939839 5122796 5854624 6586452 7684194 8781936 9879678 10245592 11526291 11709248 13172904 15368388 17563872 19759356 20491184 23052582 26345808 30736776 34578873 35127744 39518712 40982368 46105164 52691616 61473552 69157746 79037424 81964736 92210328 105383232 122947104 138315492 158074848 184420656 245894208 276630984 316149696 368841312 553261968 737682624 1106523936 2213047872