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216761096 = 23374153337
BaseRepresentation
bin11001110101110…
…00001100001000
3120002212121022202
430322320030020
5420442323341
633301535332
75241303356
oct1472701410
9502777282
10216761096
111013a0902
1260714548
1335ba5406
1420b067d6
151406a79b
hexceb8308

216761096 has 64 divisors (see below), whose sum is σ = 436952880. Its totient is φ = 100638720.

The previous prime is 216761053. The next prime is 216761123. The reversal of 216761096 is 690167612.

It can be written as a sum of positive squares in 8 ways, for example, as 95452900 + 121308196 = 9770^2 + 11014^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

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, 643040 + ... + 643376.

Almost surely, 2216761096 is an apocalyptic number.

It is an amenable number.

216761096 is an abundant number, since it is smaller than the sum of its proper divisors (220191784).

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

216761096 is a wasteful number, since it uses less digits than its factorization.

216761096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 216761096 is about 14722.8086994296. The cubic root of 216761096 is about 600.7038924214.

The spelling of 216761096 in words is "two hundred sixteen million, seven hundred sixty-one thousand, ninety-six".

Divisors: 1 2 4 8 37 41 53 74 82 106 148 164 212 296 328 337 424 674 1348 1517 1961 2173 2696 3034 3922 4346 6068 7844 8692 12136 12469 13817 15688 17384 17861 24938 27634 35722 49876 55268 71444 80401 99752 110536 142888 160802 321604 511229 643208 660857 732301 1022458 1321714 1464602 2044916 2643428 2929204 4089832 5286856 5858408 27095137 54190274 108380548 216761096