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2122434340 = 2251310198011
BaseRepresentation
bin111111010000001…
…1100011100100100
312110220201211120021
41332200130130210
513321320344330
6550335044524
7103411252135
oct17640343444
95426654507
102122434340
1199a071374
124b2970744
1327a944310
14161c49c8c
15c64e967a
hex7e81c724

2122434340 has 48 divisors (see below), whose sum is σ = 4805277120. Its totient is φ = 782801280.

The previous prime is 2122434323. The next prime is 2122434361. The reversal of 2122434340 is 434342212.

It is a happy number.

It is a super-2 number, since 2×21224343402 = 9009455055222471200, which contains 22 as substring.

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, 260935 + ... + 268945.

It is an arithmetic number, because the mean of its divisors is an integer number (100109940).

Almost surely, 22122434340 is an apocalyptic number.

2122434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122434340 is an abundant number, since it is smaller than the sum of its proper divisors (2682842780).

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

2122434340 is a wasteful number, since it uses less digits than its factorization.

2122434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2122434340 is about 46069.8853916525. The cubic root of 2122434340 is about 1285.1231724956.

Adding to 2122434340 its reverse (434342212), we get a palindrome (2556776552).

The spelling of 2122434340 in words is "two billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1019 2038 4076 5095 8011 10190 13247 16022 20380 26494 32044 40055 52988 66235 80110 104143 132470 160220 208286 264940 416572 520715 1041430 2082860 8163209 16326418 32652836 40816045 81632090 106121717 163264180 212243434 424486868 530608585 1061217170 2122434340