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22052121413440 = 265411680801937
BaseRepresentation
bin1010000001110011010001…
…10111010000011101000000
32220002011101020221111101211
411000321220313100131000
510342300221040212230
6114522334341535504
74434133061153356
oct500715067203500
986064336844354
1022052121413440
117032285705218
122581a22a14594
13c3c676c62541
1456348509d7d6
1528395daa042a
hex140e68dd0740

22052121413440 has 56 divisors (see below), whose sum is σ = 53792385223752. Its totient is φ = 8605705912320.

The previous prime is 22052121413431. The next prime is 22052121413461. The reversal of 22052121413440 is 4431412125022.

It can be written as a sum of positive squares in 4 ways, for example, as 25694807616 + 22026426605824 = 160296^2 + 4693232^2 .

It is a super-3 number, since 3×220521214134403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840387849 + ... + 840414088.

It is an arithmetic number, because the mean of its divisors is an integer number (960578307567).

Almost surely, 222052121413440 is an apocalyptic number.

22052121413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22052121413440 is an abundant number, since it is smaller than the sum of its proper divisors (31740263810312).

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

22052121413440 is a wasteful number, since it uses less digits than its factorization.

22052121413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680801995 (or 1680801985 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 22052121413440 its reverse (4431412125022), we get a palindrome (26483533538462).

The spelling of 22052121413440 in words is "twenty-two trillion, fifty-two billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 1680801937 3361603874 6723207748 8404009685 13446415496 16808019370 26892830992 33616038740 53785661984 67232077480 68912879417 107571323968 134464154960 137825758834 268928309920 275651517668 344564397085 537856619840 551303035336 689128794170 1102606070672 1378257588340 2205212141344 2756515176680 4410424282688 5513030353360 11026060706720 22052121413440