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22986007040 = 2958978909
BaseRepresentation
bin10101011010000100…
…101010001000000000
32012022221020010212002
4111122010222020000
5334033404211130
614320513523132
71442420556533
oct253204521000
965287203762
1022986007040
119826002337
124555b734a8
1322241cccc9
141180ac8a1a
158e7e98b45
hex55a12a200

22986007040 has 40 divisors (see below), whose sum is σ = 55112549580. Its totient is φ = 9194401792.

The previous prime is 22986007039. The next prime is 22986007043. The reversal of 22986007040 is 4070068922.

It can be written as a sum of positive squares in 2 ways, for example, as 21512675584 + 1473331456 = 146672^2 + 38384^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22986006985 and 22986007003.

It is not an unprimeable number, because it can be changed into a prime (22986007043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4486895 + ... + 4492014.

Almost surely, 222986007040 is an apocalyptic number.

22986007040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22986007040 is an abundant number, since it is smaller than the sum of its proper divisors (32126542540).

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

22986007040 is an frugal number, since it uses more digits than its factorization.

22986007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978932 (or 8978916 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 22986007040 in words is "twenty-two billion, nine hundred eighty-six million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8978909 17957818 35915636 44894545 71831272 89789090 143662544 179578180 287325088 359156360 574650176 718312720 1149300352 1436625440 2298600704 2873250880 4597201408 5746501760 11493003520 22986007040