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1822220038368 = 253243914412649
BaseRepresentation
bin11010100001000100110…
…001110011000011100000
320110012110122111001211200
4122201010301303003200
5214323401312211433
63513041043241200
7245436211523022
oct32410461630340
96405418431750
101822220038368
11642887785364
122551a9979200
13102ab08491c2
14642a586a012
153260064d613
hex1a844c730e0

1822220038368 has 72 divisors (see below), whose sum is σ = 5193742554000. Its totient is φ = 606023023104.

The previous prime is 1822220038367. The next prime is 1822220038501. The reversal of 1822220038368 is 8638300222281.

It is a happy number.

1822220038368 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 2 + 200 + 383 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822220038361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7079893 + ... + 7332756.

It is an arithmetic number, because the mean of its divisors is an integer number (72135313250).

Almost surely, 21822220038368 is an apocalyptic number.

1822220038368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1822220038368 is an abundant number, since it is smaller than the sum of its proper divisors (3371522515632).

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

1822220038368 is a wasteful number, since it uses less digits than its factorization.

1822220038368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14413104 (or 14413093 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1822220038368 in words is "one trillion, eight hundred twenty-two billion, two hundred twenty million, thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 31608 42144 63216 126432 14412649 28825298 43237947 57650596 86475894 115301192 129713841 172951788 230602384 259427682 345903576 461204768 518855364 691807152 1037710728 1383614304 2075421456 4150842912 6327152911 12654305822 18981458733 25308611644 37962917466 50617223288 56944376199 75925834932 101234446576 113888752398 151851669864 202468893152 227777504796 303703339728 455555009592 607406679456 911110019184 1822220038368