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72223242232000 = 26539539473143
BaseRepresentation
bin10000011010111111001000…
…101100101010000011000000
3100110201110210221010000200111
4100122333020230222003000
533431301200002411000
6413334522140201104
721132646161554326
oct2032771054520300
9313643727100614
1072223242232000
1121015783425002
128125421839194
13313b81289c132
1413b98a313bd16
15853a5b654cba
hex41afc8b2a0c0

72223242232000 has 112 divisors (see below), whose sum is σ = 179048560197312. Its totient is φ = 28858979788800.

The previous prime is 72223242231893. The next prime is 72223242232051. The reversal of 72223242232000 is 23224232227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887429 + ... + 12360571.

Almost surely, 272223242232000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72223242232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89524280098656).

72223242232000 is an abundant number, since it is smaller than the sum of its proper divisors (106825317965312).

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

72223242232000 is an equidigital number, since it uses as much as digits as its factorization.

72223242232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474123 (or 9474103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

Adding to 72223242232000 its reverse (23224232227), we get a palindrome (72246466464227).

The spelling of 72223242232000 in words is "seventy-two trillion, two hundred twenty-three billion, two hundred forty-two million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 953 1000 1600 1906 2000 3812 4000 4765 7624 8000 9530 15248 19060 23825 30496 38120 47650 60992 76240 95300 119125 152480 190600 238250 304960 381200 476500 762400 953000 1524800 1906000 3812000 7624000 9473143 18946286 37892572 47365715 75785144 94731430 151570288 189462860 236828575 303140576 378925720 473657150 606281152 757851440 947314300 1184142875 1515702880 1894628600 2368285750 3031405760 3789257200 4736571500 7578514400 9027905279 9473143000 15157028800 18055810558 18946286000 36111621116 37892572000 45139526395 72223242232 75785144000 90279052790 144446484464 180558105580 225697631975 288892968928 361116211160 451395263950 577785937856 722232422320 902790527900 1128488159875 1444464844640 1805581055800 2256976319750 2888929689280 3611162111600 4513952639500 7222324223200 9027905279000 14444648446400 18055810558000 36111621116000 72223242232000