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214028417232 = 24337174163329
BaseRepresentation
bin1100011101010100010…
…1100111100011010000
3202110110000020010012000
43013111011213203100
512001312233322412
6242153455434000
721314552346420
oct3072505474320
9673400203160
10214028417232
1182850509753
1235591825900
131724b79a786
14a505274480
155879d1c4dc
hex31d51678d0

214028417232 has 160 divisors (see below), whose sum is σ = 743404204800. Its totient is φ = 57553846272.

The previous prime is 214028417231. The next prime is 214028417237. The reversal of 214028417232 is 232714820412.

214028417232 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 8 + 417 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214028417231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030257 + ... + 2133072.

It is an arithmetic number, because the mean of its divisors is an integer number (4646276280).

Almost surely, 2214028417232 is an apocalyptic number.

It is an amenable number.

214028417232 is an abundant number, since it is smaller than the sum of its proper divisors (529375787568).

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

214028417232 is a wasteful number, since it uses less digits than its factorization.

214028417232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163370 (or 4163358 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 214028417232 in words is "two hundred fourteen billion, twenty-eight million, four hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 4163329 8326658 12489987 16653316 24979974 29143303 33306632 37469961 49959948 58286606 66613264 70776593 74939922 87429909 99919896 112409883 116573212 141553186 149879844 174859818 199839792 212329779 224819766 233146424 262289727 283106372 299759688 349719636 424659558 449639532 466292848 495436151 524579454 566212744 599519376 636989337 699439272 786869181 849319116 899279064 990872302 1049158908 1132425488 1273978674 1398878544 1486308453 1573738362 1698638232 1798558128 1910968011 1981744604 2098317816 2547957348 2972616906 3147476724 3397276464 3821936022 3963489208 4196635632 4458925359 5095914696 5945233812 6294953448 7643872044 7926978416 8917850718 10191829392 11890467624 12589906896 13376776077 15287744088 17835701436 23780935248 26753552154 30575488176 35671402872 53507104308 71342805744 107014208616 214028417232