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22425213140432 = 2431443299934031
BaseRepresentation
bin1010001100101010001101…
…10111001111110111010000
32221101211101122211222010122
411012111012313033313100
510414403314030443212
6115410000052245412
74503111454416014
oct506250667176720
987354348758118
1022425213140432
117166530214863
1226221a6610868
13c688c48c803b
1457755969a544
1528d4e7ed2272
hex146546dcfdd0

22425213140432 has 80 divisors (see below), whose sum is σ = 44967979008000. Its totient is φ = 10822487395200.

The previous prime is 22425213140381. The next prime is 22425213140453. The reversal of 22425213140432 is 23404131252422.

It is a junction number, because it is equal to n+sod(n) for n = 22425213140392 and 22425213140401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658947257 + ... + 658981287.

It is an arithmetic number, because the mean of its divisors is an integer number (562099737600).

Almost surely, 222425213140432 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 22425213140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483989504000).

22425213140432 is an abundant number, since it is smaller than the sum of its proper divisors (22542765867568).

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

22425213140432 is a wasteful number, since it uses less digits than its factorization.

22425213140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37512 (or 37506 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 22425213140432 its reverse (23404131252422), we get a palindrome (45829344392854).

The spelling of 22425213140432 in words is "twenty-two trillion, four hundred twenty-five billion, two hundred thirteen million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 443 496 886 1772 2999 3544 5998 7088 11996 13733 23992 27466 34031 47984 54932 68062 92969 109864 136124 185938 219728 272248 371876 544496 743752 1054961 1328557 1487504 2109922 2657114 4219844 5314228 8439688 10628456 15075733 16879376 21256912 30151466 41185267 60302932 82370534 102058969 120605864 164741068 204117938 241211728 329482136 408235876 467347723 658964272 816471752 934695446 1632943504 1869390892 3163828039 3738781784 6327656078 7477563568 12655312156 25310624312 45212123267 50621248624 90424246534 180848493068 361696986136 723393972272 1401575821277 2803151642554 5606303285108 11212606570216 22425213140432