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212440211032 = 23743503175393
BaseRepresentation
bin1100010111011001101…
…1000101111001011000
3202022100022201212212011
43011312123011321120
511440034143223112
6241332122555304
721230315666560
oct3056633057130
9668308655764
10212440211032
1182105a62945
1235209968b34
1317057733baa
14a3d436dda0
1557d569caa7
hex31766c5e58

212440211032 has 64 divisors (see below), whose sum is σ = 466744481280. Its totient is φ = 88751158272.

The previous prime is 212440210981. The next prime is 212440211033. The reversal of 212440211032 is 230112044212.

It is a junction number, because it is equal to n+sod(n) for n = 212440210994 and 212440211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212440211033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123528 + ... + 1298920.

It is an arithmetic number, because the mean of its divisors is an integer number (7292882520).

Almost surely, 2212440211032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212440211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233372240640).

212440211032 is an abundant number, since it is smaller than the sum of its proper divisors (254304270248).

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

212440211032 is a wasteful number, since it uses less digits than its factorization.

212440211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175952 (or 175948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212440211032 its reverse (230112044212), we get a palindrome (442552255244).

The spelling of 212440211032 in words is "two hundred twelve billion, four hundred forty million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 503 602 1006 1204 2012 2408 3521 4024 7042 14084 21629 28168 43258 86516 151403 173032 175393 302806 350786 605612 701572 1211224 1227751 1403144 2455502 4911004 7541899 9822008 15083798 30167596 52793293 60335192 88222679 105586586 176445358 211173172 352890716 422346344 617558753 705781432 1235117506 2470235012 3793575197 4940470024 7587150394 15174300788 26555026379 30348601576 53110052758 106220105516 212440211032