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3130202220 = 22353710211381
BaseRepresentation
bin1011101010010011…
…0001100001101100
322002011000202012120
42322210301201230
522402312432340
61234335032540
7140366164665
oct27244614154
98064022176
103130202220
111366a10292
1273436b750
133ab671082
14219a1a36c
15134c124d0
hexba93186c

3130202220 has 96 divisors (see below), whose sum is σ = 9016787136. Its totient is φ = 810777600.

The previous prime is 3130202219. The next prime is 3130202221. The reversal of 3130202220 is 222020313.

It is an interprime number because it is at equal distance from previous prime (3130202219) and next prime (3130202221).

It is a super-4 number, since 4×31302022204 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3130202220.

It is not an unprimeable number, because it can be changed into a prime (3130202221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265930 + ... + 2267310.

It is an arithmetic number, because the mean of its divisors is an integer number (93924866).

Almost surely, 23130202220 is an apocalyptic number.

3130202220 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 3130202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508393568).

3130202220 is an abundant number, since it is smaller than the sum of its proper divisors (5886584916).

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

3130202220 is a wasteful number, since it uses less digits than its factorization.

3130202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3130202220 is about 55948.2101590390. The cubic root of 3130202220 is about 1462.8196931334.

Adding to 3130202220 its reverse (222020313), we get a palindrome (3352222533).

The spelling of 3130202220 in words is "three billion, one hundred thirty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1021 1110 1381 2042 2220 2762 3063 4084 4143 5105 5524 6126 6905 8286 10210 12252 13810 15315 16572 20420 20715 27620 30630 37777 41430 51097 61260 75554 82860 102194 113331 151108 153291 188885 204388 226662 255485 306582 377770 453324 510970 566655 613164 755540 766455 1021940 1133310 1410001 1532910 2266620 2820002 3065820 4230003 5640004 7050005 8460006 14100010 16920012 21150015 28200020 42300030 52170037 84600060 104340074 156510111 208680148 260850185 313020222 521700370 626040444 782550555 1043400740 1565101110 3130202220