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2210131320 = 2335143912799
BaseRepresentation
bin1000001110111011…
…1110110101111000
312201000202022012120
42003232332311320
514011243200240
61003150441240
7105524543355
oct20356766570
95630668176
102210131320
11a3461a411
12518203220
13292b6ac17
1416d75762c
15ce06dad0
hex83bbed78

2210131320 has 64 divisors (see below), whose sum is σ = 6635520000. Its totient is φ = 588912768.

The previous prime is 2210131309. The next prime is 2210131367. The reversal of 2210131320 is 231310122.

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 2210131320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166281 + ... + 179079.

It is an arithmetic number, because the mean of its divisors is an integer number (103680000).

Almost surely, 22210131320 is an apocalyptic number.

2210131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210131320 is an abundant number, since it is smaller than the sum of its proper divisors (4425388680).

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

2210131320 is a wasteful number, since it uses less digits than its factorization.

2210131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2210131320 is about 47012.0337785976. The cubic root of 2210131320 is about 1302.5848609183.

Adding to 2210131320 its reverse (231310122), we get a palindrome (2441441442).

The spelling of 2210131320 in words is "two billion, two hundred ten million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1439 2878 4317 5756 7195 8634 11512 12799 14390 17268 21585 25598 28780 34536 38397 43170 51196 57560 63995 76794 86340 102392 127990 153588 172680 191985 255980 307176 383970 511960 767940 1535880 18417761 36835522 55253283 73671044 92088805 110506566 147342088 184177610 221013132 276266415 368355220 442026264 552532830 736710440 1105065660 2210131320