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22252143605664 = 253769594758343
BaseRepresentation
bin1010000111100111110110…
…00111010111011110100000
32220210021200010222122220110
411003303323013113132200
510404034342230340124
6115154254343411320
74454443601556630
oct503637307273640
986707603878813
1022252143605664
1170aa098a537a5
1225b4745a53b40
13c554a2a518bb
1456d01c0ba6c0
15288c68e5a029
hex143cfb1d77a0

22252143605664 has 96 divisors (see below), whose sum is σ = 66766037667840. Its totient is φ = 6356840378112.

The previous prime is 22252143605641. The next prime is 22252143605693. The reversal of 22252143605664 is 46650634125222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2297277 + ... + 7055619.

It is an arithmetic number, because the mean of its divisors is an integer number (695479559040).

Almost surely, 222252143605664 is an apocalyptic number.

22252143605664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22252143605664 is an abundant number, since it is smaller than the sum of its proper divisors (44513894062176).

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

22252143605664 is a wasteful number, since it uses less digits than its factorization.

22252143605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765322 (or 4765314 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 22252143605664 in words is "twenty-two trillion, two hundred fifty-two billion, one hundred forty-three million, six hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6959 13918 20877 27836 41754 48713 55672 83508 97426 111344 146139 167016 194852 222688 292278 334032 389704 584556 668064 779408 1169112 1558816 2338224 4676448 4758343 9516686 14275029 19033372 28550058 33308401 38066744 57100116 66616802 76133488 99925203 114200232 133233604 152266976 199850406 228400464 266467208 399700812 456800928 532934416 799401624 1065868832 1598803248 3197606496 33113308937 66226617874 99339926811 132453235748 198679853622 231793162559 264906471496 397359707244 463586325118 529812942992 695379487677 794719414488 927172650236 1059625885984 1390758975354 1589438828976 1854345300472 2781517950708 3178877657952 3708690600944 5563035901416 7417381201888 11126071802832 22252143605664