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207693216 = 25321759719
BaseRepresentation
bin11000110000100…
…10010110100000
3112110210220112100
430120102112200
5411132140331
632335330400
75101235403
oct1430222640
9473726470
10207693216
11a7267a95
1259680a00
133404bbc3
141d825d3a
1513378ae6
hexc6125a0

207693216 has 144 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 63965184.

The previous prime is 207693191. The next prime is 207693221. The reversal of 207693216 is 612396702.

It is a tau number, because it is divible by the number of its divisors (144).

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, 288505 + ... + 289223.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2207693216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

207693216 is an abundant number, since it is smaller than the sum of its proper divisors (429161184).

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

207693216 is a wasteful number, since it uses less digits than its factorization.

207693216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

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

The square root of 207693216 is about 14411.5653556441. The cubic root of 207693216 is about 592.2077734294.

The spelling of 207693216 in words is "two hundred seven million, six hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 288 306 354 408 472 531 544 612 708 719 816 944 1003 1062 1224 1416 1438 1632 1888 2006 2124 2157 2448 2832 2876 3009 4012 4248 4314 4896 5664 5752 6018 6471 8024 8496 8628 9027 11504 12036 12223 12942 16048 16992 17256 18054 23008 24072 24446 25884 32096 34512 36108 36669 42421 48144 48892 51768 69024 72216 73338 84842 96288 97784 103536 110007 127263 144432 146676 169684 195568 207072 220014 254526 288864 293352 339368 381789 391136 440028 509052 586704 678736 721157 763578 880056 1018104 1173408 1357472 1442314 1527156 1760112 2036208 2163471 2884628 3054312 3520224 4072416 4326942 5769256 6108624 6490413 8653884 11538512 12217248 12980826 17307768 23077024 25961652 34615536 51923304 69231072 103846608 207693216