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10222132212 = 22321971441361
BaseRepresentation
bin10011000010100100…
…10101101111110100
3222101101202010020100
421201102111233310
5131413331212322
64410155434100
7511212455505
oct114122255764
928341663210
1010222132212
114376144256
121b93455930
13c6ba23556
146cd866bac
153ec639dac
hex261495bf4

10222132212 has 36 divisors (see below), whose sum is σ = 25970460516. Its totient is φ = 3390078720.

The previous prime is 10222132201. The next prime is 10222132223. The reversal of 10222132212 is 21223122201.

10222132212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10222132201) and next prime (10222132223).

It can be written as a sum of positive squares in 2 ways, for example, as 8012756196 + 2209376016 = 89514^2 + 47004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713589 + ... + 727772.

It is an arithmetic number, because the mean of its divisors is an integer number (721401681).

Almost surely, 210222132212 is an apocalyptic number.

10222132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222132212 is an abundant number, since it is smaller than the sum of its proper divisors (15748328304).

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

10222132212 is a wasteful number, since it uses less digits than its factorization.

10222132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441568 (or 1441563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10222132212 its reverse (21223122201), we get a palindrome (31445254413).

The spelling of 10222132212 in words is "ten billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 1441361 2882722 4324083 5765444 8648166 12972249 17296332 25944498 51888996 283948117 567896234 851844351 1135792468 1703688702 2555533053 3407377404 5111066106 10222132212