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21232244040 = 23357238310607
BaseRepresentation
bin10011110001100010…
…100101010101001000
32000210201012202021220
4103301202211111020
5321440423302130
613430504402040
71351104045060
oct236142452510
960721182256
1021232244040
119006059227
124146776320
132004a7b617
141055c0a3a0
15844025410
hex4f18a5548

21232244040 has 128 divisors (see below), whose sum is σ = 72833679360. Its totient is φ = 4850590464.

The previous prime is 21232244017. The next prime is 21232244093. The reversal of 21232244040 is 4044223212.

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 21232244040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996417 + ... + 2007023.

It is an arithmetic number, because the mean of its divisors is an integer number (569013120).

Almost surely, 221232244040 is an apocalyptic number.

21232244040 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 21232244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36416839680).

21232244040 is an abundant number, since it is smaller than the sum of its proper divisors (51601435320).

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

21232244040 is a wasteful number, since it uses less digits than its factorization.

21232244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21232244040 its reverse (4044223212), we get a palindrome (25276467252).

The spelling of 21232244040 in words is "twenty-one billion, two hundred thirty-two million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2383 4766 7149 9532 10607 11915 14298 16681 19064 21214 23830 28596 31821 33362 35745 42428 47660 50043 53035 57192 63642 66724 71490 74249 83405 84856 95320 100086 106070 127284 133448 142980 148498 159105 166810 200172 212140 222747 250215 254568 285960 296996 318210 333620 371245 400344 424280 445494 500430 593992 636420 667240 742490 890988 1000860 1113735 1272840 1484980 1781976 2001720 2227470 2969960 4454940 8909880 25276481 50552962 75829443 101105924 126382405 151658886 176935367 202211848 252764810 303317772 353870734 379147215 505529620 530806101 606635544 707741468 758294430 884676835 1011059240 1061612202 1415482936 1516588860 1769353670 2123224404 2654030505 3033177720 3538707340 4246448808 5308061010 7077414680 10616122020 21232244040