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22261419552 = 2535310934003
BaseRepresentation
bin10100101110111000…
…100100111000100000
32010110102210021200110
4110232320210320200
5331042410411202
614120551251320
71415441641551
oct245670447040
963412707613
1022261419552
119493a99aa9
124393379b40
13213a062408
141112790328
158a456b26c
hex52ee24e20

22261419552 has 96 divisors (see below), whose sum is σ = 59608156608. Its totient is φ = 7271986176.

The previous prime is 22261419547. The next prime is 22261419589. The reversal of 22261419552 is 25591416222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22261419552.

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, 5559183 + ... + 5563185.

It is an arithmetic number, because the mean of its divisors is an integer number (620918298).

Almost surely, 222261419552 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 22261419552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804078304).

22261419552 is an abundant number, since it is smaller than the sum of its proper divisors (37346737056).

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

22261419552 is a wasteful number, since it uses less digits than its factorization.

22261419552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5154 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The spelling of 22261419552 in words is "twenty-two billion, two hundred sixty-one million, four hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1093 1272 1696 2186 2544 3279 4003 4372 5088 6558 8006 8744 12009 13116 16012 17488 24018 26232 32024 34976 48036 52464 57929 64048 96072 104928 115858 128096 173787 192144 212159 231716 347574 384288 424318 463432 636477 695148 848636 926864 1272954 1390296 1697272 1853728 2545908 2780592 3394544 4375279 5091816 5561184 6789088 8750558 10183632 13125837 17501116 20367264 26251674 35002232 52503348 70004464 105006696 140008928 210013392 231889787 420026784 463779574 695669361 927559148 1391338722 1855118296 2782677444 3710236592 5565354888 7420473184 11130709776 22261419552