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3152114220 = 2235477914149
BaseRepresentation
bin1011101111100001…
…0111001000101100
322010200020222211010
42323320113020230
522423420123340
61240440425220
7141053346243
oct27370271054
98120228733
103152114220
111378317082
1273b778210
133b3073858
1421c8c195a
15136adeb80
hexbbe1722c

3152114220 has 96 divisors (see below), whose sum is σ = 9128448000. Its totient is φ = 812208384.

The previous prime is 3152114179. The next prime is 3152114233. The reversal of 3152114220 is 224112513.

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, 215706 + ... + 229854.

It is an arithmetic number, because the mean of its divisors is an integer number (95088000).

Almost surely, 23152114220 is an apocalyptic number.

3152114220 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 3152114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564224000).

3152114220 is an abundant number, since it is smaller than the sum of its proper divisors (5976333780).

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

3152114220 is a wasteful number, since it uses less digits than its factorization.

3152114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3152114220 is about 56143.6926110138. The cubic root of 3152114220 is about 1466.2250962935.

Adding to 3152114220 its reverse (224112513), we get a palindrome (3376226733).

The spelling of 3152114220 in words is "three billion, one hundred fifty-two million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 79 94 141 158 188 235 237 282 316 395 470 474 564 705 790 940 948 1185 1410 1580 2370 2820 3713 4740 7426 11139 14149 14852 18565 22278 28298 37130 42447 44556 55695 56596 70745 74260 84894 111390 141490 169788 212235 222780 282980 424470 665003 848940 1117771 1330006 1995009 2235542 2660012 3325015 3353313 3990018 4471084 5588855 6650030 6706626 7980036 9975045 11177710 13300060 13413252 16766565 19950090 22355420 33533130 39900180 52535237 67066260 105070474 157605711 210140948 262676185 315211422 525352370 630422844 788028555 1050704740 1576057110 3152114220