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22431301040 = 2451815712713
BaseRepresentation
bin10100111001000000…
…100111110110110000
32010220021110011021102
4110321000213312300
5331414403113130
614145500343532
71422603625061
oct247100476660
963807404242
1022431301040
119570980525
124420244ba8
1321663027c5
14112b172568
158b4426645
hex539027db0

22431301040 has 80 divisors (see below), whose sum is σ = 52552115616. Its totient is φ = 8904038400.

The previous prime is 22431301027. The next prime is 22431301051. The reversal of 22431301040 is 4010313422.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8266724 + ... + 8269436.

Almost surely, 222431301040 is an apocalyptic number.

22431301040 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 22431301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276057808).

22431301040 is an abundant number, since it is smaller than the sum of its proper divisors (30120814576).

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

22431301040 is a wasteful number, since it uses less digits than its factorization.

22431301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22431301040 its reverse (4010313422), we get a palindrome (26441614462).

The spelling of 22431301040 in words is "twenty-two billion, four hundred thirty-one million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 571 724 905 1142 1448 1810 2284 2713 2855 2896 3620 4568 5426 5710 7240 9136 10852 11420 13565 14480 21704 22840 27130 43408 45680 54260 103351 108520 206702 217040 413404 491053 516755 826808 982106 1033510 1549123 1653616 1964212 2067020 2455265 3098246 3928424 4134040 4910530 6196492 7745615 7856848 8268080 9821060 12392984 15491230 19642120 24785968 30982460 39284240 61964920 123929840 280391263 560782526 1121565052 1401956315 2243130104 2803912630 4486260208 5607825260 11215650520 22431301040