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208233696 = 25311316361
BaseRepresentation
bin11000110100101…
…10010011100000
3112111211100221010
430122112103200
5411301434241
632355100520
75105646216
oct1432262340
9474740833
10208233696
11a75a7070
12598a1740
13341aac08
141d926cb6
1513433d16
hexc6964e0

208233696 has 96 divisors (see below), whose sum is σ = 615638016. Its totient is φ = 61056000.

The previous prime is 208233679. The next prime is 208233713. The reversal of 208233696 is 696332802.

It is an interprime number because it is at equal distance from previous prime (208233679) and next prime (208233713).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2082336962 = 86722544299640832, which contains 22 as substring.

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, 29556 + ... + 35916.

It is an arithmetic number, because the mean of its divisors is an integer number (6412896).

Almost surely, 2208233696 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 208233696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307819008).

208233696 is an abundant number, since it is smaller than the sum of its proper divisors (407404320).

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

208233696 is a wasteful number, since it uses less digits than its factorization.

208233696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 208233696 is about 14430.3047784861. The cubic root of 208233696 is about 592.7210291811.

It can be divided in two parts, 2082 and 33696, that added together give a triangular number (35778 = T267).

The spelling of 208233696 in words is "two hundred eight million, two hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 6361 8184 10912 12722 16368 19083 25444 32736 38166 50888 69971 76332 101776 139942 152664 197191 203552 209913 279884 305328 394382 419826 559768 591573 610656 788764 839652 1119536 1183146 1577528 1679304 2169101 2239072 2366292 3155056 3358608 4338202 4732584 6310112 6507303 6717216 8676404 9465168 13014606 17352808 18930336 26029212 34705616 52058424 69411232 104116848 208233696