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216261630 = 23351361613
BaseRepresentation
bin11001110001111…
…10001111111110
3120001221020012000
430320332033332
5420330333010
633243123130
75234123244
oct1470761776
9501836160
10216261630
1110108a622
12605134a6
1335a5bc80
1420a16794
1513ebc7c0
hexce3e3fe

216261630 has 64 divisors (see below), whose sum is σ = 621069120. Its totient is φ = 53232768.

The previous prime is 216261623. The next prime is 216261637. The reversal of 216261630 is 36162612.

216261630 is a `hidden beast` number, since 2 + 1 + 6 + 26 + 1 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (216261623) and next prime (216261637).

It is a super-2 number, since 2×2162616302 = 93538185220513800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216261594 and 216261603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216261637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27297 + ... + 34316.

It is an arithmetic number, because the mean of its divisors is an integer number (9704205).

Almost surely, 2216261630 is an apocalyptic number.

216261630 is an abundant number, since it is smaller than the sum of its proper divisors (404807490).

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

216261630 is a wasteful number, since it uses less digits than its factorization.

216261630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61642 (or 61636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216261630 is about 14705.8365963994. The cubic root of 216261630 is about 600.2421522573.

The spelling of 216261630 in words is "two hundred sixteen million, two hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 61613 123226 184839 308065 369678 554517 616130 800969 924195 1109034 1601938 1663551 1848390 2402907 2772585 3327102 4004845 4805814 5545170 7208721 8009690 8317755 12014535 14417442 16635510 21626163 24029070 36043605 43252326 72087210 108130815 216261630