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234881120 = 2552715417
BaseRepresentation
bin11100000000000…
…00000001100000
3121100222012022202
432000000001200
5440112143440
635150152332
75551312415
oct1600000140
9540865282
10234881120
11110647731
12667b26a8
133987ac16
14232a210c
1515949615
hexe000060

234881120 has 48 divisors (see below), whose sum is σ = 557057088. Its totient is φ = 93588480.

The previous prime is 234881113. The next prime is 234881131. The reversal of 234881120 is 21188432.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40652 + ... + 46068.

It is an arithmetic number, because the mean of its divisors is an integer number (11605356).

Almost surely, 2234881120 is an apocalyptic number.

234881120 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 234881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278528544).

234881120 is an abundant number, since it is smaller than the sum of its proper divisors (322175968).

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

234881120 is a wasteful number, since it uses less digits than its factorization.

234881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 234881120 is about 15325.8317881934. The cubic root of 234881120 is about 616.9965036879.

The spelling of 234881120 in words is "two hundred thirty-four million, eight hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5417 5420 8672 10834 10840 21668 21680 27085 43336 43360 54170 86672 108340 173344 216680 433360 866720 1468007 2936014 5872028 7340035 11744056 14680070 23488112 29360140 46976224 58720280 117440560 234881120