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2220202011120 = 243537250022749
BaseRepresentation
bin100000010011101110010…
…110100010100111110000
321212020201200210000212120
4200103232112202213300
5242333433203323440
64415540254154240
7316255450500462
oct40235626424760
97766650700776
102220202011120
11786645177a45
122ba3591b2980
1313149706a982
147965ba00132
153cb44cc2dd0
hex204ee5a29f0

2220202011120 has 80 divisors (see below), whose sum is σ = 7068643188000. Its totient is φ = 576052411392.

The previous prime is 2220202011017. The next prime is 2220202011149. The reversal of 2220202011120 is 211102020222.

It is a tau number, because it is divible by the number of its divisors (80).

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 2220202011120.

It is a congruent number.

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, 125002495 + ... + 125020254.

It is an arithmetic number, because the mean of its divisors is an integer number (88358039850).

Almost surely, 22220202011120 is an apocalyptic number.

2220202011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220202011120 is an abundant number, since it is smaller than the sum of its proper divisors (4848441176880).

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

2220202011120 is a wasteful number, since it uses less digits than its factorization.

2220202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250022802 (or 250022796 counting only the distinct ones).

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

Adding to 2220202011120 its reverse (211102020222), we get a palindrome (2431304031342).

The spelling of 2220202011120 in words is "two trillion, two hundred twenty billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 250022749 500045498 750068247 1000090996 1250113745 1500136494 2000181992 2500227490 3000272988 3750341235 4000363984 5000454980 6000545976 7500682470 9250841713 10000909960 12001091952 15001364940 18501683426 20001819920 27752525139 30002729880 37003366852 46254208565 55505050278 60005459760 74006733704 92508417130 111010100556 138762625695 148013467408 185016834260 222020201112 277525251390 370033668520 444040402224 555050502780 740067337040 1110101005560 2220202011120