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22211022120 = 2335737969767
BaseRepresentation
bin10100101011111000…
…010100110100101000
32010022220221211101220
4110223320110310220
5330442010201440
614111551142040
71414260400350
oct245370246450
963286854356
1022211022120
1194685a7731
12437a514920
13212c798151
141109bd1b60
1589ee138d0
hex52be14d28

22211022120 has 128 divisors (see below), whose sum is σ = 76354099200. Its totient is φ = 5063337216.

The previous prime is 22211022083. The next prime is 22211022139. The reversal of 22211022120 is 2122011222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22211022120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283477 + ... + 353243.

It is an arithmetic number, because the mean of its divisors is an integer number (596516400).

Almost surely, 222211022120 is an apocalyptic number.

22211022120 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 22211022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38177049600).

22211022120 is an abundant number, since it is smaller than the sum of its proper divisors (54143077080).

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

22211022120 is a wasteful number, since it uses less digits than its factorization.

22211022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70167 (or 70163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22211022120 its reverse (2122011222), we get a palindrome (24333033342).

It can be divided in two parts, 2221102 and 2120, that added together give a palindrome (2223222).

The spelling of 22211022120 in words is "twenty-two billion, two hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 379 420 758 840 1137 1516 1895 2274 2653 3032 3790 4548 5306 5685 7580 7959 9096 10612 11370 13265 15160 15918 21224 22740 26530 31836 39795 45480 53060 63672 69767 79590 106120 139534 159180 209301 279068 318360 348835 418602 488369 558136 697670 837204 976738 1046505 1395340 1465107 1674408 1953476 2093010 2441845 2790680 2930214 3906952 4186020 4883690 5860428 7325535 8372040 9767380 11720856 14651070 19534760 26441693 29302140 52883386 58604280 79325079 105766772 132208465 158650158 185091851 211533544 264416930 317300316 370183702 396625395 528833860 555275553 634600632 740367404 793250790 925459255 1057667720 1110551106 1480734808 1586501580 1850918510 2221102212 2776377765 3173003160 3701837020 4442204424 5552755530 7403674040 11105511060 22211022120