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212132332200 = 23352353553887
BaseRepresentation
bin1100010110010000010…
…0101000001010101000
3202021112212102000111110
43011210010220022220
511433421334112300
6241241404030320
721216560033625
oct3054404501250
9667485360443
10212132332200
1181a68197a28
12351428323a0
1317008a07b79
14a3a550934c
1557b8634550
hex31641282a8

212132332200 has 48 divisors (see below), whose sum is σ = 657610231680. Its totient is φ = 56568621760.

The previous prime is 212132332169. The next prime is 212132332273. The reversal of 212132332200 is 2233231212.

It is a happy number.

It is a super-2 number, since 2×2121323322002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176776344 + ... + 176777543.

It is an arithmetic number, because the mean of its divisors is an integer number (13700213160).

Almost surely, 2212132332200 is an apocalyptic number.

212132332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132332200 is an abundant number, since it is smaller than the sum of its proper divisors (445477899480).

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

212132332200 is a wasteful number, since it uses less digits than its factorization.

212132332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353553906 (or 353553897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212132332200 its reverse (2233231212), we get a palindrome (214365563412).

The spelling of 212132332200 in words is "two hundred twelve billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 353553887 707107774 1060661661 1414215548 1767769435 2121323322 2828431096 3535538870 4242646644 5303308305 7071077740 8485293288 8838847175 10606616610 14142155480 17677694350 21213233220 26516541525 35355388700 42426466440 53033083050 70710777400 106066166100 212132332200