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22145311224 = 233619199853
BaseRepresentation
bin10100100111111101…
…101010000111111000
32010011100022101000000
4110213331222013320
5330323144424344
614101242513000
71412532016401
oct244775520770
963140271000
1022145311224
1194344a6103
124360505760
13211bc9b96a
1411011a89a8
15899283a69
hex527f6a1f8

22145311224 has 112 divisors (see below), whose sum is σ = 65532126600. Its totient is φ = 6993221184.

The previous prime is 22145311219. The next prime is 22145311241. The reversal of 22145311224 is 42211354122.

22145311224 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 531 + 122 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10882 + ... + 210734.

Almost surely, 222145311224 is an apocalyptic number.

22145311224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32766063300).

22145311224 is an abundant number, since it is smaller than the sum of its proper divisors (43386815376).

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

22145311224 is a wasteful number, since it uses less digits than its factorization.

22145311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199896 (or 199877 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 22145311224 its reverse (42211354122), we get a palindrome (64356665346).

The spelling of 22145311224 in words is "twenty-two billion, one hundred forty-five million, three hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2916 3078 4104 4617 5832 6156 9234 12312 13851 18468 27702 36936 55404 110808 199853 399706 599559 799412 1199118 1598824 1798677 2398236 3597354 3797207 4796472 5396031 7194708 7594414 10792062 11391621 14389416 15188828 16188093 21584124 22783242 30377656 32376186 34174863 43168248 45566484 48564279 64752372 68349726 91132968 97128558 102524589 129504744 136699452 145692837 194257116 205049178 273398904 291385674 307573767 388514232 410098356 582771348 615147534 820196712 922721301 1165542696 1230295068 1845442602 2460590136 2768163903 3690885204 5536327806 7381770408 11072655612 22145311224