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22474142304252 = 22323474789361769
BaseRepresentation
bin1010001110000101010110…
…10001001100011111111100
32221120111200121201000200020
411013002223101030133330
510421204020412214002
6115444251202132140
74506463124432262
oct507025321143774
987514617630606
1022474142304252
117185259481831
12262b780951050
13c703c1858592
14579a7bac0432
1528e90d8522bc
hex1470ab44c7fc

22474142304252 has 96 divisors (see below), whose sum is σ = 55895722444800. Its totient is φ = 7011723704832.

The previous prime is 22474142304247. The next prime is 22474142304253. The reversal of 22474142304252 is 25240324147422.

It is a super-2 number, since 2×224741423042522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22474142304253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61942024 + ... + 62303792.

It is an arithmetic number, because the mean of its divisors is an integer number (582247108800).

Almost surely, 222474142304252 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 22474142304252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27947861222400).

22474142304252 is an abundant number, since it is smaller than the sum of its proper divisors (33421580140548).

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

22474142304252 is a wasteful number, since it uses less digits than its factorization.

22474142304252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366635 (or 366633 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 22474142304252 in words is "twenty-two trillion, four hundred seventy-four billion, one hundred forty-two million, three hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 4789 6486 9578 12972 14367 19156 28734 57468 110147 220294 225083 330441 361769 440588 450166 660882 675249 723538 900332 1085307 1321764 1350498 1447076 2170614 2700996 4341228 5176909 8320687 10353818 15530727 16641374 17003143 20707636 24962061 31061454 33282748 34006286 49924122 51009429 62122908 68012572 99848244 102018858 204037716 391072289 782144578 1173216867 1564289156 1732511741 2346433734 3465023482 4692867468 5197535223 6930046964 10395070446 20790140892 39847770043 79695540086 81428051827 119543310129 159391080172 162856103654 239086620258 244284155481 325712207308 478173240516 488568310962 977136621924 1872845192021 3745690384042 5618535576063 7491380768084 11237071152126 22474142304252