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22144307440 = 2451718189959
BaseRepresentation
bin10100100111111001…
…110101000011110000
32010011021102101001211
4110213321311003300
5330322420314230
614101205205504
71412520336043
oct244771650360
963137371054
1022144307440
11943397aa32
124360100894
13211ba09ac8
141100dc6c5a
1589913642a
hex527e750f0

22144307440 has 80 divisors (see below), whose sum is σ = 54815866560. Its totient is φ = 8290529280.

The previous prime is 22144307401. The next prime is 22144307443. The reversal of 22144307440 is 4470344122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144307443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201181 + ... + 291139.

It is an arithmetic number, because the mean of its divisors is an integer number (685198332).

Almost surely, 222144307440 is an apocalyptic number.

22144307440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27407933280).

22144307440 is an abundant number, since it is smaller than the sum of its proper divisors (32671559120).

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

22144307440 is a wasteful number, since it uses less digits than its factorization.

22144307440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90170 (or 90164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 22144307440 in words is "twenty-two billion, one hundred forty-four million, three hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 181 272 340 362 680 724 905 1360 1448 1810 2896 3077 3620 6154 7240 12308 14480 15385 24616 30770 49232 61540 89959 123080 179918 246160 359836 449795 719672 899590 1439344 1529303 1799180 3058606 3598360 6117212 7196720 7646515 12234424 15293030 16282579 24468848 30586060 32565158 61172120 65130316 81412895 122344240 130260632 162825790 260521264 276803843 325651580 553607686 651303160 1107215372 1302606320 1384019215 2214430744 2768038430 4428861488 5536076860 11072153720 22144307440