Search a number
-
+
220349097312900 = 223521494929510007
BaseRepresentation
bin110010000110100000000101…
…101011000000001010000100
31001220012011112110021111200120
4302012200011223000022010
5212340144422403003100
62100350551114341540
764261461021465033
oct6206400553001204
91056164473244616
10220349097312900
1164234588a42536
122086916aa2a8b0
1395c4aa511674a
143c5ad4b89871a
151a71bbbabb0a0
hexc86805ac0284

220349097312900 has 72 divisors (see below), whose sum is σ = 641822203041600. Its totient is φ = 58365398471040.

The previous prime is 220349097312881. The next prime is 220349097312907. The reversal of 220349097312900 is 9213790943022.

It is not an unprimeable number, because it can be changed into a prime (220349097312907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464710304 + ... + 2464799703.

Almost surely, 2220349097312900 is an apocalyptic number.

220349097312900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220349097312900 is an abundant number, since it is smaller than the sum of its proper divisors (421473105728700).

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

220349097312900 is a wasteful number, since it uses less digits than its factorization.

220349097312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929510173 (or 4929510166 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 220349097312900 in words is "two hundred twenty trillion, three hundred forty-nine billion, ninety-seven million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 44700 4929510007 9859020014 14788530021 19718040028 24647550035 29577060042 49295100070 59154120084 73942650105 98590200140 123237750175 147885300210 246475500350 295770600420 369713250525 492951000700 734496991043 739426501050 1468993982086 1478853002100 2203490973129 2937987964172 3672484955215 4406981946258 7344969910430 8813963892516 11017454865645 14689939820860 18362424776075 22034909731290 36724849552150 44069819462580 55087274328225 73449699104300 110174548656450 220349097312900