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230356720 = 24511673907
BaseRepresentation
bin11011011101011…
…11011011110000
3121001110100000101
431232233123300
5432432403340
634505202144
75464666636
oct1556573360
9531410011
10230356720
11109037460
1265190354
1338955769
1422845356
1515353c9a
hexdbaf6f0

230356720 has 80 divisors (see below), whose sum is σ = 593140608. Its totient is φ = 82494720.

The previous prime is 230356699. The next prime is 230356723. The reversal of 230356720 is 27653032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230356723) 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, 57007 + ... + 60913.

Almost surely, 2230356720 is an apocalyptic number.

230356720 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 230356720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296570304).

230356720 is an abundant number, since it is smaller than the sum of its proper divisors (362783888).

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

230356720 is a wasteful number, since it uses less digits than its factorization.

230356720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 230356720 is about 15177.5070416719. The cubic root of 230356720 is about 613.0091570848.

The spelling of 230356720 in words is "two hundred thirty million, three hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 3907 5360 5896 7370 7814 11792 14740 15628 19535 29480 31256 39070 42977 58960 62512 78140 85954 156280 171908 214885 261769 312560 343816 429770 523538 687632 859540 1047076 1308845 1719080 2094152 2617690 2879459 3438160 4188304 5235380 5758918 10470760 11517836 14397295 20941520 23035672 28794590 46071344 57589180 115178360 230356720