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22224431320 = 23571343141991
BaseRepresentation
bin10100101100101011…
…011110100011011000
32010100212012002100221
4110230223132203120
5331003423300240
614113150405424
71414512356260
oct245453364330
963325162327
1022224431320
119475126213
124382b00874
1321324b16a0
14110b8c27a0
158a11b1a4a
hex52cade8d8

22224431320 has 128 divisors (see below), whose sum is σ = 62976291840. Its totient is φ = 6870044160.

The previous prime is 22224431311. The next prime is 22224431351. The reversal of 22224431320 is 2313442222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85525 + ... + 227515.

It is an arithmetic number, because the mean of its divisors is an integer number (492002280).

Almost surely, 222224431320 is an apocalyptic number.

22224431320 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 22224431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31488145920).

22224431320 is an abundant number, since it is smaller than the sum of its proper divisors (40751860520).

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

22224431320 is a wasteful number, since it uses less digits than its factorization.

22224431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142065 (or 142061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22224431320 its reverse (2313442222), we get a palindrome (24537873542).

The spelling of 22224431320 in words is "twenty-two billion, two hundred twenty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 43 52 56 65 70 86 91 104 130 140 172 182 215 260 280 301 344 364 430 455 520 559 602 728 860 910 1118 1204 1505 1720 1820 2236 2408 2795 3010 3640 3913 4472 5590 6020 7826 11180 12040 15652 19565 22360 31304 39130 78260 141991 156520 283982 567964 709955 993937 1135928 1419910 1845883 1987874 2839820 3691766 3975748 4969685 5679640 6105613 7383532 7951496 9229415 9939370 12211226 12921181 14767064 18458830 19878740 24422452 25842362 30528065 36917660 39757480 42739291 48844904 51684724 61056130 64605905 73835320 79372969 85478582 103369448 122112260 129211810 158745938 170957164 213696455 244224520 258423620 317491876 341914328 396864845 427392910 516847240 555610783 634983752 793729690 854785820 1111221566 1587459380 1709571640 2222443132 2778053915 3174918760 4444886264 5556107830 11112215660 22224431320