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22202013312 = 273219272581
BaseRepresentation
bin10100101011010101…
…111101011010000000
32010022022000010122100
4110223111331122000
5330432203411222
614111030110400
71414120666533
oct245325753200
963268003570
1022202013312
119463504236
1243774ab400
13212a9627ab
141108928a1a
1589e2344ac
hex52b57d680

22202013312 has 48 divisors (see below), whose sum is σ = 63888609330. Its totient is φ = 7400670720.

The previous prime is 22202013307. The next prime is 22202013331. The reversal of 22202013312 is 21331020222.

It can be written as a sum of positive squares in only one way, i.e., 21920579136 + 281434176 = 148056^2 + 16776^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

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 5 ways as a sum of consecutive naturals, for example, 9635139 + ... + 9637442.

Almost surely, 222202013312 is an apocalyptic number.

It is an amenable number.

22202013312 is an abundant number, since it is smaller than the sum of its proper divisors (41686596018).

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

22202013312 is a wasteful number, since it uses less digits than its factorization.

22202013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272601 (or 19272586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22202013312 its reverse (21331020222), we get a palindrome (43533033534).

The spelling of 22202013312 in words is "twenty-two billion, two hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19272581 38545162 57817743 77090324 115635486 154180648 173453229 231270972 308361296 346906458 462541944 616722592 693812916 925083888 1233445184 1387625832 1850167776 2466890368 2775251664 3700335552 5550503328 7400671104 11101006656 22202013312