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216169680 = 24358571051
BaseRepresentation
bin11001110001001…
…11110011010000
3120001202120001110
430320213303100
5420314412210
633241133320
75233261206
oct1470476320
9501676043
10216169680
11101027531
126048a240
1335a2916c
14209d1076
1513ea0420
hexce27cd0

216169680 has 80 divisors (see below), whose sum is σ = 671546304. Its totient is φ = 57523200.

The previous prime is 216169633. The next prime is 216169699. The reversal of 216169680 is 86961612.

216169680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205155 + ... + 206205.

Almost surely, 2216169680 is an apocalyptic number.

216169680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216169680 is an abundant number, since it is smaller than the sum of its proper divisors (455376624).

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

216169680 is a wasteful number, since it uses less digits than its factorization.

216169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 216169680 is about 14702.7099542907. The cubic root of 216169680 is about 600.1570699892.

The spelling of 216169680 in words is "two hundred sixteen million, one hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 857 1051 1714 2102 2571 3153 3428 4204 4285 5142 5255 6306 6856 8408 8570 10284 10510 12612 12855 13712 15765 16816 17140 20568 21020 25224 25710 31530 34280 41136 42040 50448 51420 63060 68560 84080 102840 126120 205680 252240 900707 1801414 2702121 3602828 4503535 5404242 7205656 9007070 10808484 13510605 14411312 18014140 21616968 27021210 36028280 43233936 54042420 72056560 108084840 216169680