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235212208 = 24711712689
BaseRepresentation
bin11100000010100…
…00110110110000
3121101121000111021
432001100312300
5440203242313
635201225224
75554161610
oct1601206660
9541530437
10235212208
11110853460
1266932214
133996582a
142334aa40
15159b278d
hexe050db0

235212208 has 80 divisors (see below), whose sum is σ = 576391680. Its totient is φ = 90316800.

The previous prime is 235212169. The next prime is 235212217. The reversal of 235212208 is 802212532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86128 + ... + 88816.

It is an arithmetic number, because the mean of its divisors is an integer number (7204896).

Almost surely, 2235212208 is an apocalyptic number.

235212208 is a gapful number since it is divisible by the number (28) 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 235212208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288195840).

235212208 is an abundant number, since it is smaller than the sum of its proper divisors (341179472).

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

235212208 is a wasteful number, since it uses less digits than its factorization.

235212208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 235212208 is about 15336.6296167052. The cubic root of 235212208 is about 617.2862732945.

The spelling of 235212208 in words is "two hundred thirty-five million, two hundred twelve thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 2689 3124 3976 5378 5467 6248 7952 10756 10934 12496 18823 21512 21868 29579 37646 43024 43736 59158 75292 87472 118316 150584 190919 207053 236632 301168 381838 414106 473264 763676 828212 1336433 1527352 1656424 2100109 2672866 3054704 3312848 4200218 5345732 8400436 10691464 14700763 16800872 21382928 29401526 33601744 58803052 117606104 235212208