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2122412440 = 235173306707
BaseRepresentation
bin111111010000001…
…0111000110011000
312110220200201112011
41332200113012120
513321314144230
6550334355304
7103411131241
oct17640270630
95426621464
102122412440
1199a056975
124b295bb34
1327a937365
14161c41cc8
15c64e2e2a
hex7e817198

2122412440 has 32 divisors (see below), whose sum is σ = 4803047280. Its totient is φ = 844054912.

The previous prime is 2122412429. The next prime is 2122412441. The reversal of 2122412440 is 442142212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122412441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146434 + ... + 160273.

Almost surely, 22122412440 is an apocalyptic number.

2122412440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122412440 is an abundant number, since it is smaller than the sum of its proper divisors (2680634840).

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

2122412440 is a wasteful number, since it uses less digits than its factorization.

2122412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306891 (or 306887 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2122412440 is about 46069.6477086595. The cubic root of 2122412440 is about 1285.1187523676.

Adding to 2122412440 its reverse (442142212), we get a palindrome (2564554652).

The spelling of 2122412440 in words is "two billion, one hundred twenty-two million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 306707 613414 1226828 1533535 2453656 3067070 6134140 12268280 53060311 106120622 212241244 265301555 424482488 530603110 1061206220 2122412440