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2190882680 = 235743181967
BaseRepresentation
bin1000001010010110…
…0011011101111000
312122200112101000222
42002211203131320
513441331221210
61001222115212
7105202124030
oct20245433570
95580471028
102190882680
11a24772648
1251187bb08
1328bb8b7ac
1416ad868c0
15cc51a655
hex82963778

2190882680 has 64 divisors (see below), whose sum is σ = 5764746240. Its totient is φ = 733686912.

The previous prime is 2190882679. The next prime is 2190882709. The reversal of 2190882680 is 862880912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78944 + ... + 103023.

It is an arithmetic number, because the mean of its divisors is an integer number (90074160).

Almost surely, 22190882680 is an apocalyptic number.

2190882680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190882680 is an abundant number, since it is smaller than the sum of its proper divisors (3573863560).

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

2190882680 is a wasteful number, since it uses less digits than its factorization.

2190882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182028 (or 182024 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 2190882680 is about 46806.8657357016. The cubic root of 2190882680 is about 1298.7923064139.

The spelling of 2190882680 in words is "two billion, one hundred ninety million, eight hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 181967 363934 727868 909835 1273769 1455736 1819670 2547538 3639340 5095076 6368845 7278680 7824581 10190152 12737690 15649162 25475380 31298324 39122905 50950760 54772067 62596648 78245810 109544134 156491620 219088268 273860335 312983240 438176536 547720670 1095441340 2190882680