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22410400221240 = 23351434713016891
BaseRepresentation
bin1010001100001110100111…
…11100011100100000111000
32221100102011022201201001220
411012013103330130200320
510414132444424034430
6115355110140112040
74502045415605463
oct506072374344070
987312138651056
1022410400221240
117160219761389
12261b351835620
13c673a3a61ab5
145769522542da
1528ce2c824110
hex1461d3f1c838

22410400221240 has 64 divisors (see below), whose sum is σ = 67235891909760. Its totient is φ = 5975689726080.

The previous prime is 22410400221211. The next prime is 22410400221247. The reversal of 22410400221240 is 4212200401422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22410400221240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22410400221247) 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, 4786806 + ... + 8230085.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560811090).

Almost surely, 222410400221240 is an apocalyptic number.

22410400221240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22410400221240 is an abundant number, since it is smaller than the sum of its proper divisors (44825491688520).

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

22410400221240 is a wasteful number, since it uses less digits than its factorization.

22410400221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031252 (or 13031248 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22410400221240 its reverse (4212200401422), we get a palindrome (26622600622662).

The spelling of 22410400221240 in words is "twenty-two trillion, four hundred ten billion, four hundred million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14347 28694 43041 57388 71735 86082 114776 143470 172164 215205 286940 344328 430410 573880 860820 1721640 13016891 26033782 39050673 52067564 65084455 78101346 104135128 130168910 156202692 195253365 260337820 312405384 390506730 520675640 781013460 1562026920 186753335177 373506670354 560260005531 747013340708 933766675885 1120520011062 1494026681416 1867533351770 2241040022124 2801300027655 3735066703540 4482080044248 5602600055310 7470133407080 11205200110620 22410400221240