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212224142040 = 23351768534517
BaseRepresentation
bin1100010110100110001…
…0110110101011011000
3202021210021011102220220
43011221202312223120
511434113340021130
6241254443520040
721222053305041
oct3055142665330
9667707142826
10212224142040
1182004aa5029
1235169529020
1317021a41811
14a3b37a78c8
1557c171c410
hex31698b6ad8

212224142040 has 32 divisors (see below), whose sum is σ = 636672426480. Its totient is φ = 56593104512.

The previous prime is 212224142021. The next prime is 212224142047. The reversal of 212224142040 is 40241422212.

It is a happy number.

212224142040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122241420402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212224142040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224142047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 884267139 + ... + 884267378.

Almost surely, 2212224142040 is an apocalyptic number.

212224142040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212224142040 is an abundant number, since it is smaller than the sum of its proper divisors (424448284440).

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

212224142040 is a wasteful number, since it uses less digits than its factorization.

212224142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768534531 (or 1768534527 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212224142040 its reverse (40241422212), we get a palindrome (252465564252).

The spelling of 212224142040 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1768534517 3537069034 5305603551 7074138068 8842672585 10611207102 14148276136 17685345170 21222414204 26528017755 35370690340 42444828408 53056035510 70741380680 106112071020 212224142040