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220131300 = 223521722539
BaseRepresentation
bin11010001111011…
…10111111100100
3120100012211101010
431013232333210
5422323200200
633502102220
75312041134
oct1507567744
9510184333
10220131300
111032929a4
126187a970
13367b540c
1421342ac4
15144d4150
hexd1eefe4

220131300 has 108 divisors (see below), whose sum is σ = 676849040. Its totient is φ = 55226880.

The previous prime is 220131271. The next prime is 220131323. The reversal of 220131300 is 3131022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85431 + ... + 87969.

Almost surely, 2220131300 is an apocalyptic number.

220131300 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 220131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338424520).

220131300 is an abundant number, since it is smaller than the sum of its proper divisors (456717740).

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

220131300 is a wasteful number, since it uses less digits than its factorization.

220131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 220131300 is about 14836.8224360879. The cubic root of 220131300 is about 603.8011457428.

Adding to 220131300 its reverse (3131022), we get a palindrome (223262322).

The spelling of 220131300 in words is "two hundred twenty million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 289 300 340 425 510 578 850 867 1020 1156 1275 1445 1700 1734 2539 2550 2890 3468 4335 5078 5100 5780 7225 7617 8670 10156 12695 14450 15234 17340 21675 25390 28900 30468 38085 43163 43350 50780 63475 76170 86326 86700 126950 129489 152340 172652 190425 215815 253900 258978 380850 431630 517956 647445 733771 761700 863260 1079075 1294890 1467542 2158150 2201313 2589780 2935084 3237225 3668855 4316300 4402626 6474450 7337710 8805252 11006565 12948900 14675420 18344275 22013130 36688550 44026260 55032825 73377100 110065650 220131300