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233084480 = 2657110259
BaseRepresentation
bin11011110010010…
…01011001000000
3121020120220210112
431321021121000
5434132200410
635043450452
75530120406
oct1571113100
9536526715
10233084480
1110a62a902
1266086a28
133939c215
1422d55476
15156e2105
hexde49640

233084480 has 56 divisors (see below), whose sum is σ = 562904640. Its totient is φ = 91911680.

The previous prime is 233084479. The next prime is 233084483. The reversal of 233084480 is 84480332.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (233084483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17591 + ... + 27849.

Almost surely, 2233084480 is an apocalyptic number.

233084480 is a gapful number since it is divisible by the number (20) 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 233084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281452320).

233084480 is an abundant number, since it is smaller than the sum of its proper divisors (329820160).

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

233084480 is a wasteful number, since it uses less digits than its factorization.

233084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 233084480 is about 15267.1045060941. The cubic root of 233084480 is about 615.4193099670.

The spelling of 233084480 in words is "two hundred thirty-three million, eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 10259 11360 20518 22720 41036 51295 82072 102590 164144 205180 328288 410360 656576 728389 820720 1456778 1641440 2913556 3282880 3641945 5827112 7283890 11654224 14567780 23308448 29135560 46616896 58271120 116542240 233084480