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216697320 = 23325785991
BaseRepresentation
bin11001110101010…
…00100111101000
3120002202100211200
430322220213220
5420433303240
633300324200
75240616420
oct1472504750
9502670750
10216697320
111013579a4
12606a3660
1335b82388
1420acb480
1514056930
hexcea89e8

216697320 has 96 divisors (see below), whose sum is σ = 804885120. Its totient is φ = 49530240.

The previous prime is 216697303. The next prime is 216697333. The reversal of 216697320 is 23796612.

216697320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40476 + ... + 45515.

It is an arithmetic number, because the mean of its divisors is an integer number (8384220).

Almost surely, 2216697320 is an apocalyptic number.

216697320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216697320 is an abundant number, since it is smaller than the sum of its proper divisors (588187800).

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

216697320 is a wasteful number, since it uses less digits than its factorization.

216697320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86015 (or 86008 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 216697320 is about 14720.6426490150. The cubic root of 216697320 is about 600.6449731011.

The spelling of 216697320 in words is "two hundred sixteen million, six hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 85991 171982 257973 343964 429955 515946 601937 687928 773919 859910 1031892 1203874 1289865 1547838 1719820 1805811 2063784 2407748 2579730 3009685 3095676 3439640 3611622 3869595 4815496 5159460 5417433 6019370 6191352 7223244 7739190 9029055 10318920 10834866 12038740 14446488 15478380 18058110 21669732 24077480 27087165 30956760 36116220 43339464 54174330 72232440 108348660 216697320