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22228157400560 = 245618235534569
BaseRepresentation
bin1010000110111011001010…
…11011010000010111110000
32220200222202111201012020122
411003131211123100113300
510403141231243304220
6115135250300025412
74452634314312536
oct503354533202760
986628674635218
1022228157400560
11709a9aa4028a1
1225abb70b32268
13c5314c575527
1456bbc4632156
15288313291425
hex1437656d05f0

22228157400560 has 80 divisors (see below), whose sum is σ = 52591520861760. Its totient is φ = 8734876600320.

The previous prime is 22228157400487. The next prime is 22228157400587. The reversal of 22228157400560 is 6500475182222.

22228157400560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1248956 + ... + 6783524.

It is an arithmetic number, because the mean of its divisors is an integer number (657394010772).

Almost surely, 222228157400560 is an apocalyptic number.

22228157400560 is a gapful number since it is divisible by the number (20) 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 22228157400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295760430880).

22228157400560 is an abundant number, since it is smaller than the sum of its proper divisors (30363363461200).

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

22228157400560 is a wasteful number, since it uses less digits than its factorization.

22228157400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535466 (or 5535460 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 22228157400560 in words is "twenty-two trillion, two hundred twenty-eight billion, one hundred fifty-seven million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 823 976 1220 1646 2440 3292 4115 4880 6584 8230 13168 16460 32920 50203 65840 100406 200812 251015 401624 502030 803248 1004060 2008120 4016240 5534569 11069138 22138276 27672845 44276552 55345690 88553104 110691380 221382760 337608709 442765520 675217418 1350434836 1688043545 2700869672 3376087090 4554950287 5401739344 6752174180 9109900574 13504348360 18219801148 22774751435 27008696720 36439602296 45549502870 72879204592 91099005740 182198011480 277851967507 364396022960 555703935014 1111407870028 1389259837535 2222815740056 2778519675070 4445631480112 5557039350140 11114078700280 22228157400560