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22325397840 = 2432531007497
BaseRepresentation
bin10100110010101100…
…101000100101010000
32010121220011201101200
4110302230220211100
5331210300212330
614131154431200
71420146515304
oct246254504520
963556151350
1022325397840
119517117919
1243b0892500
13214a3a30a5
14111b085d04
158a9ea7a60
hex532b28950

22325397840 has 60 divisors (see below), whose sum is σ = 74976130164. Its totient is φ = 5953439232.

The previous prime is 22325397827. The next prime is 22325397881. The reversal of 22325397840 is 4879352322.

22325397840 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 539 + 78 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14800182336 + 7525215504 = 121656^2 + 86748^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×223253978403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15503029 + ... + 15504468.

Almost surely, 222325397840 is an apocalyptic number.

22325397840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22325397840 is an abundant number, since it is smaller than the sum of its proper divisors (52650732324).

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

22325397840 is a wasteful number, since it uses less digits than its factorization.

22325397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31007516 (or 31007507 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22325397840 in words is "twenty-two billion, three hundred twenty-five million, three hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31007497 62014994 93022491 124029988 155037485 186044982 248059976 279067473 310074970 372089964 465112455 496119952 558134946 620149940 744179928 930224910 1116269892 1240299880 1395337365 1488359856 1860449820 2232539784 2480599760 2790674730 3720899640 4465079568 5581349460 7441799280 11162698920 22325397840