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3223525320 = 2332540921893
BaseRepresentation
bin1100000000100011…
…0001011111001000
322022122122001102200
43000020301133020
523100210302240
61251511200200
7142611341001
oct30010613710
98278561380
103223525320
111404661314
1275b676060
133c4ab7742
142281901a8
1513cee8930
hexc02317c8

3223525320 has 96 divisors (see below), whose sum is σ = 10502551800. Its totient is φ = 857465856.

The previous prime is 3223525301. The next prime is 3223525321. The reversal of 3223525320 is 235253223.

It can be written as a sum of positive squares in 4 ways, for example, as 3199259844 + 24265476 = 56562^2 + 4926^2 .

It is a super-2 number, since 2×32235253202 = 20782230977362204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3223525321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136294 + ... + 158186.

Almost surely, 23223525320 is an apocalyptic number.

3223525320 is a gapful number since it is divisible by the number (30) 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 3223525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251275900).

3223525320 is an abundant number, since it is smaller than the sum of its proper divisors (7279026480).

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

3223525320 is a wasteful number, since it uses less digits than its factorization.

3223525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22319 (or 22312 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3223525320 is about 56776.0981399744. The cubic root of 3223525320 is about 1477.2149535571.

Adding to 3223525320 its reverse (235253223), we get a palindrome (3458778543).

The spelling of 3223525320 in words is "three billion, two hundred twenty-three million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 409 818 1227 1636 2045 2454 3272 3681 4090 4908 6135 7362 8180 9816 12270 14724 16360 18405 21893 24540 29448 36810 43786 49080 65679 73620 87572 109465 131358 147240 175144 197037 218930 262716 328395 394074 437860 525432 656790 788148 875720 985185 1313580 1576296 1970370 2627160 3940740 7881480 8954237 17908474 26862711 35816948 44771185 53725422 71633896 80588133 89542370 107450844 134313555 161176266 179084740 214901688 268627110 322352532 358169480 402940665 537254220 644705064 805881330 1074508440 1611762660 3223525320