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13222431240 = 2335316753051
BaseRepresentation
bin11000101000001111…
…00100101000001000
31021010111100002202120
430110013210220020
5204034420244430
610024014331240
7645443545134
oct142407445010
937114302676
1013222431240
115675799327
1226901b9b20
1313294b0c15
148d610a3c4
15525c3c610
hex3141e4a08

13222431240 has 128 divisors (see below), whose sum is σ = 41558814720. Its totient is φ = 3361248000.

The previous prime is 13222431221. The next prime is 13222431247. The reversal of 13222431240 is 4213422231.

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 13222431240.

It is not an unprimeable number, because it can be changed into a prime (13222431247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222715 + ... + 275765.

It is an arithmetic number, because the mean of its divisors is an integer number (324678240).

Almost surely, 213222431240 is an apocalyptic number.

13222431240 is a gapful number since it is divisible by the number (10) 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 13222431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779407360).

13222431240 is an abundant number, since it is smaller than the sum of its proper divisors (28336383480).

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

13222431240 is a wasteful number, since it uses less digits than its factorization.

13222431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53163 (or 53159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13222431240 its reverse (4213422231), we get a palindrome (17435853471).

Subtracting from 13222431240 its reverse (4213422231), we obtain a palindrome (9009009009).

The spelling of 13222431240 in words is "thirteen billion, two hundred twenty-two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 536 620 670 744 804 930 1005 1240 1340 1608 1860 2010 2077 2680 3720 4020 4154 6231 8040 8308 10385 12462 16616 20770 24924 31155 41540 49848 53051 62310 83080 106102 124620 159153 212204 249240 265255 318306 424408 530510 636612 795765 1061020 1273224 1591530 1644581 2122040 3183060 3289162 3554417 4933743 6366120 6578324 7108834 8222905 9867486 10663251 13156648 14217668 16445810 17772085 19734972 21326502 24668715 28435336 32891620 35544170 39469944 42653004 49337430 53316255 65783240 71088340 85306008 98674860 106632510 110186927 142176680 197349720 213265020 220373854 330560781 426530040 440747708 550934635 661121562 881495416 1101869270 1322243124 1652803905 2203738540 2644486248 3305607810 4407477080 6611215620 13222431240