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22832288133680 = 245391301729371
BaseRepresentation
bin1010011000100000011100…
…11011000111001000110000
32222211202010102021020022102
411030100032123013020300
510443041011230234210
6120321001450155532
74544402245650344
oct514201633071060
988752112236272
1022832288133680
117303134462313
122689073122ba8
13c980c9c387cc
1458d13533b624
15298dc0aa9ea5
hex14c40e6c7230

22832288133680 has 40 divisors (see below), whose sum is σ = 53085278355984. Its totient is φ = 9132879392000.

The previous prime is 22832288133541. The next prime is 22832288133689. The reversal of 22832288133680 is 8633188223822.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22832288133689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30939395 + ... + 31668765.

Almost surely, 222832288133680 is an apocalyptic number.

22832288133680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22832288133680 is an abundant number, since it is smaller than the sum of its proper divisors (30252990222304).

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

22832288133680 is a wasteful number, since it uses less digits than its factorization.

22832288133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120685 (or 1120679 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 22832288133680 in words is "twenty-two trillion, eight hundred thirty-two billion, two hundred eighty-eight million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 391301 729371 782602 1458742 1565204 1956505 2917484 3130408 3646855 3913010 5834968 6260816 7293710 7826020 11669936 14587420 15652040 29174840 31304080 58349680 285403601671 570807203342 1141614406684 1427018008355 2283228813368 2854036016710 4566457626736 5708072033420 11416144066840 22832288133680