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22214195712 = 293216728867
BaseRepresentation
bin10100101100000100…
…011011101000000000
32010100010221001202100
4110230010123220000
5330443313230322
614112143150400
71414326355662
oct245404335000
963303831670
1022214195712
11946a375035
12437b5a5400
132130339807
14110a3ba532
158a033ddac
hex52c11ba00

22214195712 has 120 divisors (see below), whose sum is σ = 64497809376. Its totient is φ = 7360137216.

The previous prime is 22214195701. The next prime is 22214195747. The reversal of 22214195712 is 21759141222.

It is a happy number.

22214195712 is a `hidden beast` number, since 2 + 221 + 419 + 5 + 7 + 12 = 666.

It is a super-2 number, since 2×222141957122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755103 + ... + 783969.

Almost surely, 222214195712 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 22214195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248904688).

22214195712 is an abundant number, since it is smaller than the sum of its proper divisors (42283613664).

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

22214195712 is a wasteful number, since it uses less digits than its factorization.

22214195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29058 (or 29039 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 22214195712 in words is "twenty-two billion, two hundred fourteen million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1152 1336 1503 1536 2004 2304 2672 3006 4008 4608 5344 6012 8016 10688 12024 16032 21376 24048 28867 32064 42752 48096 57734 64128 85504 86601 96192 115468 128256 173202 192384 230936 256512 259803 346404 384768 461872 519606 692808 769536 923744 1039212 1385616 1847488 2078424 2771232 3694976 4156848 4820789 5542464 7389952 8313696 9641578 11084928 14462367 14779904 16627392 19283156 22169856 28924734 33254784 38566312 43387101 44339712 57849468 66509568 77132624 86774202 115698936 133019136 154265248 173548404 231397872 308530496 347096808 462795744 617060992 694193616 925591488 1234121984 1388387232 1851182976 2468243968 2776774464 3702365952 5553548928 7404731904 11107097856 22214195712