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216334640 = 24513072069
BaseRepresentation
bin11001110010100…
…00000100110000
3120002001221100002
430321100010300
5420340202030
633244445132
75234546144
oct1471200460
9502057302
10216334640
1110112a465
12605497a8
1335a86282
1420a35224
1513ed4245
hexce50130

216334640 has 40 divisors (see below), whose sum is σ = 503606160. Its totient is φ = 86425856.

The previous prime is 216334637. The next prime is 216334661. The reversal of 216334640 is 46433612.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103526 + ... + 105594.

It is an arithmetic number, because the mean of its divisors is an integer number (12590154).

Almost surely, 2216334640 is an apocalyptic number.

216334640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216334640 is an abundant number, since it is smaller than the sum of its proper divisors (287271520).

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

216334640 is a wasteful number, since it uses less digits than its factorization.

216334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 216334640 is about 14708.3187346481. The cubic root of 216334640 is about 600.3096919758.

The spelling of 216334640 in words is "two hundred sixteen million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1307 2069 2614 4138 5228 6535 8276 10345 10456 13070 16552 20690 20912 26140 33104 41380 52280 82760 104560 165520 2704183 5408366 10816732 13520915 21633464 27041830 43266928 54083660 108167320 216334640