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831493220 = 225294573137
BaseRepresentation
bin110001100011111…
…001010001100100
32010221121020021012
4301203321101210
53200330240340
6214301441352
726414401325
oct6143712144
92127536235
10831493220
113973a1188
121b2570258
1310335b72c
147c60644c
154cee8565
hex318f9464

831493220 has 48 divisors (see below), whose sum is σ = 1810877040. Its totient is φ = 320323584.

The previous prime is 831493207. The next prime is 831493237. The reversal of 831493220 is 22394138.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 205692964 + 625800256 = 14342^2 + 25016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263492 + ... + 266628.

It is an arithmetic number, because the mean of its divisors is an integer number (37726605).

Almost surely, 2831493220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831493220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905438520).

831493220 is an abundant number, since it is smaller than the sum of its proper divisors (979383820).

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

831493220 is a wasteful number, since it uses less digits than its factorization.

831493220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 831493220 is about 28835.6241479181. The cubic root of 831493220 is about 940.3428732589.

The spelling of 831493220 in words is "eight hundred thirty-one million, four hundred ninety-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 457 580 914 1828 2285 3137 4570 6274 9140 12548 13253 15685 26506 31370 53012 62740 66265 90973 132530 181946 265060 363892 454865 909730 1433609 1819460 2867218 5734436 7168045 14336090 28672180 41574661 83149322 166298644 207873305 415746610 831493220