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10322224040 = 2352924673607
BaseRepresentation
bin10011001110100000…
…01010001110101000
3222122101002022102002
421213100022032220
5132114442132130
64424133030132
7513536312432
oct114720121650
928571068362
1010322224040
114417698777
122000a85348
13c86699a9b
146dcc7d652
1540630bb45
hex26740a3a8

10322224040 has 64 divisors (see below), whose sum is σ = 24042268800. Its totient is φ = 3983793408.

The previous prime is 10322224021. The next prime is 10322224051. The reversal of 10322224040 is 4042222301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859917 + ... + 2863523.

It is an arithmetic number, because the mean of its divisors is an integer number (375660450).

Almost surely, 210322224040 is an apocalyptic number.

10322224040 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 10322224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021134400).

10322224040 is an abundant number, since it is smaller than the sum of its proper divisors (13720044760).

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

10322224040 is a wasteful number, since it uses less digits than its factorization.

10322224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10322224040 its reverse (4042222301), we get a palindrome (14364446341).

The spelling of 10322224040 in words is "ten billion, three hundred twenty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2467 3607 4934 7214 9868 12335 14428 18035 19736 24670 28856 36070 49340 71543 72140 98680 104603 143086 144280 209206 286172 357715 418412 523015 572344 715430 836824 1046030 1430860 2092060 2861720 4184120 8898469 17796938 35593876 44492345 71187752 88984690 177969380 258055601 355938760 516111202 1032222404 1290278005 2064444808 2580556010 5161112020 10322224040