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32212233012 = 223174612743
BaseRepresentation
bin11101111111111111…
…111010101100110100
310002010220222222120010
4131333333322230310
51011432312424022
622444215540220
72220151314531
oct357777725464
9102126888503
1032212233012
111272aa69483
1262ab98a670
1330647ba80b
1417b818bd88
15c87e6050c
hex77fffab34

32212233012 has 72 divisors (see below), whose sum is σ = 79863513408. Its totient is φ = 10070305280.

The previous prime is 32212233007. The next prime is 32212233013. The reversal of 32212233012 is 21033221223.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32212233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212233013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43353913 + ... + 43354655.

It is an arithmetic number, because the mean of its divisors is an integer number (1109215464).

Almost surely, 232212233012 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 32212233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39931756704).

32212233012 is an abundant number, since it is smaller than the sum of its proper divisors (47651280396).

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

32212233012 is a wasteful number, since it uses less digits than its factorization.

32212233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1226 counting only the distinct ones).

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

Adding to 32212233012 its reverse (21033221223), we get a palindrome (53245454235).

The spelling of 32212233012 in words is "thirty-two billion, two hundred twelve million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 461 743 922 1383 1486 1844 2229 2766 2972 4458 5532 7837 8916 12631 15674 23511 25262 31348 37893 47022 50524 75786 94044 151572 212521 342523 425042 637563 685046 850084 1027569 1275126 1370092 2055138 2550252 3612857 4110276 5822891 7225714 10838571 11645782 14451428 17468673 21677142 23291564 34937346 43354284 69874692 157903103 315806206 473709309 631612412 947418618 1894837236 2684352751 5368705502 8053058253 10737411004 16106116506 32212233012