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214664472 = 233311167541
BaseRepresentation
bin11001100101110…
…00010100011000
3112221221002022000
430302320110120
5414423230342
633145001000
75214421641
oct1462702430
9487832260
10214664472
11100199660
125ba83160
133561ccc9
142071c6c8
1513ca444c
hexccb8518

214664472 has 128 divisors (see below), whose sum is σ = 655603200. Its totient is φ = 64540800.

The previous prime is 214664459. The next prime is 214664473. The reversal of 214664472 is 274466412.

214664472 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 644 + 7 + 2 = 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 (214664473) 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, 396522 + ... + 397062.

It is an arithmetic number, because the mean of its divisors is an integer number (5121900).

Almost surely, 2214664472 is an apocalyptic number.

214664472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214664472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327801600).

214664472 is an abundant number, since it is smaller than the sum of its proper divisors (440938728).

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

214664472 is a wasteful number, since it uses less digits than its factorization.

214664472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 214664472 is about 14651.4324214392. The cubic root of 214664472 is about 598.7608425766.

The spelling of 214664472 in words is "two hundred fourteen million, six hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 167 198 216 264 297 334 396 501 541 594 668 792 1002 1082 1188 1336 1503 1623 1837 2004 2164 2376 3006 3246 3674 4008 4328 4509 4869 5511 5951 6012 6492 7348 9018 9738 11022 11902 12024 12984 14607 14696 16533 17853 18036 19476 22044 23804 29214 33066 35706 36072 38952 44088 47608 49599 53559 58428 66132 71412 90347 99198 107118 116856 132264 142824 160677 180694 198396 214236 271041 321354 361388 396792 428472 542082 642708 722776 813123 993817 1084164 1285416 1626246 1987634 2168328 2439369 2981451 3252492 3975268 4878738 5962902 6504984 7950536 8944353 9757476 11925804 17888706 19514952 23851608 26833059 35777412 53666118 71554824 107332236 214664472