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216374496 = 25313281617
BaseRepresentation
bin11001110010110…
…01110011100000
3120002010222000020
430321121303200
5420342440441
633245353440
75235103302
oct1471316340
9502128006
10216374496
111011573a8
1260568880
1335a9b460
1420a45972
1513ee0e66
hexce59ce0

216374496 has 96 divisors (see below), whose sum is σ = 614845728. Its totient is φ = 66232320.

The previous prime is 216374479. The next prime is 216374531. The reversal of 216374496 is 694473612.

216374496 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 (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 350380 + ... + 350996.

It is an arithmetic number, because the mean of its divisors is an integer number (6404643).

Almost surely, 2216374496 is an apocalyptic number.

216374496 is a gapful number since it is divisible by the number (26) 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 216374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307422864).

216374496 is an abundant number, since it is smaller than the sum of its proper divisors (398471232).

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

216374496 is a wasteful number, since it uses less digits than its factorization.

216374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 216374496 is about 14709.6735517822. The cubic root of 216374496 is about 600.3465553493.

The spelling of 216374496 in words is "two hundred sixteen million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 281 312 416 562 617 624 843 1124 1234 1248 1686 1851 2248 2468 3372 3653 3702 4496 4936 6744 7306 7404 8021 8992 9872 10959 13488 14612 14808 16042 19744 21918 24063 26976 29224 29616 32084 43836 48126 58448 59232 64168 87672 96252 116896 128336 173377 175344 192504 256672 346754 350688 385008 520131 693508 770016 1040262 1387016 2080524 2253901 2774032 4161048 4507802 5548064 6761703 8322096 9015604 13523406 16644192 18031208 27046812 36062416 54093624 72124832 108187248 216374496