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3130230208 = 26731263857
BaseRepresentation
bin1011101010010011…
…1000010111000000
322002011002011121011
42322210320113000
522402314331313
61234335410304
7140366342410
oct27244702700
98064064534
103130230208
111366a2a316
12734383994
133ab680a31
14219a26640
15134c1a93d
hexba9385c0

3130230208 has 112 divisors (see below), whose sum is σ = 7364358144. Its totient is φ = 1291806720.

The previous prime is 3130230203. The next prime is 3130230227. The reversal of 3130230208 is 8020320313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130230203) 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, 3652116 + ... + 3652972.

Almost surely, 23130230208 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 3130230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682179072).

3130230208 is an abundant number, since it is smaller than the sum of its proper divisors (4234127936).

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

3130230208 is a wasteful number, since it uses less digits than its factorization.

3130230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3130230208 is about 55948.4602826566. The cubic root of 3130230208 is about 1462.8240529450.

The spelling of 3130230208 in words is "three billion, one hundred thirty million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 263 434 448 496 526 857 868 992 1052 1714 1736 1841 1984 2104 3428 3472 3682 4208 5999 6856 6944 7364 8153 8416 11998 13712 13888 14728 16306 16832 23996 26567 27424 29456 32612 47992 53134 54848 57071 58912 65224 95984 106268 114142 117824 130448 185969 191968 212536 225391 228284 260896 371938 383936 425072 450782 456568 521792 743876 850144 901564 913136 1487752 1577737 1700288 1803128 1826272 2975504 3155474 3606256 3652544 5951008 6310948 6987121 7212512 11902016 12621896 13974242 14425024 25243792 27948484 48909847 50487584 55896968 97819694 100975168 111793936 195639388 223587872 391278776 447175744 782557552 1565115104 3130230208