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2122690840 = 235175930169
BaseRepresentation
bin111111010000101…
…1011000100011000
312110221012212102021
41332201123010120
513321402101330
6550344344224
7103413401014
oct17641330430
95427185367
102122690840
1199a227056
124b2a75074
1327aa03caa
14161cb5544
15c654a67a
hex7e85b118

2122690840 has 32 divisors (see below), whose sum is σ = 4778928000. Its totient is φ = 848565504.

The previous prime is 2122690837. The next prime is 2122690879. The reversal of 2122690840 is 480962212.

It is a junction number, because it is equal to n+sod(n) for n = 2122690796 and 2122690805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55276 + ... + 85444.

It is an arithmetic number, because the mean of its divisors is an integer number (149341500).

Almost surely, 22122690840 is an apocalyptic number.

2122690840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122690840 is an abundant number, since it is smaller than the sum of its proper divisors (2656237160).

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

2122690840 is a wasteful number, since it uses less digits than its factorization.

2122690840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31939 (or 31935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2122690840 is about 46072.6691217255. The cubic root of 2122690840 is about 1285.1749402244.

The spelling of 2122690840 in words is "two billion, one hundred twenty-two million, six hundred ninety thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1759 3518 7036 8795 14072 17590 30169 35180 60338 70360 120676 150845 241352 301690 603380 1206760 53067271 106134542 212269084 265336355 424538168 530672710 1061345420 2122690840