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233067828 = 223710725931
BaseRepresentation
bin11011110010001…
…01010100110100
3121020120001221210
431321011110310
5434131132303
635043241420
75530021020
oct1571052464
9536501853
10233067828
1110a619344
1266079270
1339394776
1422d4d380
15156dc203
hexde45534

233067828 has 48 divisors (see below), whose sum is σ = 627346944. Its totient is φ = 65965920.

The previous prime is 233067823. The next prime is 233067829. The reversal of 233067828 is 828760332.

It is a happy number.

233067828 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330678282 = 108641224897275168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233067823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (13069728).

Almost surely, 2233067828 is an apocalyptic number.

233067828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233067828 is an abundant number, since it is smaller than the sum of its proper divisors (394279116).

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

233067828 is a wasteful number, since it uses less digits than its factorization.

233067828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26052 (or 26050 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 233067828 is about 15266.5591408149. The cubic root of 233067828 is about 615.4046540414.

The spelling of 233067828 in words is "two hundred thirty-three million, sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 25931 51862 77793 103724 155586 181517 311172 363034 544551 726068 1089102 2178204 2774617 5549234 8323851 11098468 16647702 19422319 33295404 38844638 58266957 77689276 116533914 233067828