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234083220 = 223571513691
BaseRepresentation
bin11011111001111…
…01001110010100
3121022110122210220
431330331032110
5434411130340
635121114340
75541450240
oct1574751624
9538418726
10234083220
11110152208
12664889b0
133965b9a7
1423135420
151583ced0
hexdf3d394

234083220 has 96 divisors (see below), whose sum is σ = 754231296. Its totient is φ = 53136000.

The previous prime is 234083219. The next prime is 234083231. The reversal of 234083220 is 22380432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61575 + ... + 65265.

It is an arithmetic number, because the mean of its divisors is an integer number (7856576).

Almost surely, 2234083220 is an apocalyptic number.

234083220 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 234083220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377115648).

234083220 is an abundant number, since it is smaller than the sum of its proper divisors (520148076).

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

234083220 is a wasteful number, since it uses less digits than its factorization.

234083220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 234083220 is about 15299.7784297682. The cubic root of 234083220 is about 616.2970576301.

The spelling of 234083220 in words is "two hundred thirty-four million, eighty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 3691 4228 4530 5285 6342 7382 9060 10570 11073 12684 14764 15855 18455 21140 22146 25837 31710 36910 44292 51674 55365 63420 73820 77511 103348 110730 129185 155022 221460 258370 310044 387555 516740 557341 775110 1114682 1550220 1672023 2229364 2786705 3344046 3901387 5573410 6688092 7802774 8360115 11146820 11704161 15605548 16720230 19506935 23408322 33440460 39013870 46816644 58520805 78027740 117041610 234083220