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220244301020040 = 233511296473562789
BaseRepresentation
bin110010000100111110011111…
…010100110111101110001000
31001212211011001000120020112120
4302010332133110313232020
5212331440312030120130
62100230500214211240
764251061044626313
oct6204763724675610
91055734030506476
10220244301020040
11641a40a1194640
12208509a2953b20
1395b7c43a2cbbb
143c55c4984197a
151a6e0d6767910
hexc84f9f537b88

220244301020040 has 128 divisors (see below), whose sum is σ = 720803242627200. Its totient is φ = 53392282859520.

The previous prime is 220244301020027. The next prime is 220244301020047. The reversal of 220244301020040 is 40020103442022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (220244301020047) 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, 391062966 + ... + 391625754.

It is an arithmetic number, because the mean of its divisors is an integer number (5631275333025).

Almost surely, 2220244301020040 is an apocalyptic number.

220244301020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220244301020040 is an abundant number, since it is smaller than the sum of its proper divisors (500558941607160).

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

220244301020040 is a wasteful number, since it uses less digits than its factorization.

220244301020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859287 (or 859283 counting only the distinct ones).

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

Adding to 220244301020040 its reverse (40020103442022), we get a palindrome (260264404462062).

The spelling of 220244301020040 in words is "two hundred twenty trillion, two hundred forty-four billion, three hundred one million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 296473 562789 592946 889419 1125578 1185892 1482365 1688367 1778838 2251156 2371784 2813945 2964730 3261203 3376734 3557676 4447095 4502312 5627890 5929460 6190679 6522406 6753468 7115352 8441835 8894190 9783609 11255780 11858920 12381358 13044812 13506936 16306015 16883670 17788380 18572037 19567218 22511560 24762716 26089624 30953395 32612030 33767340 35576760 37144074 39134436 48918045 49525432 61906790 65224060 67534680 74288148 78268872 92860185 97836090 123813580 130448120 148576296 185720370 195672180 247627160 371440740 391344360 742881480 166851743197 333703486394 500555229591 667406972788 834258715985 1001110459182 1334813945576 1668517431970 1835369175167 2002220918364 2502776147955 3337034863940 3670738350334 4004441836728 5005552295910 5506107525501 6674069727880 7341476700668 9176845875835 10011104591820 11012215051002 14682953401336 18353691751670 20022209183640 22024430102004 27530537627505 36707383503340 44048860204008 55061075255010 73414767006680 110122150510020 220244301020040