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2022202120 = 235712692647
BaseRepresentation
bin111100010001000…
…0101101100001000
312012221010111210211
41320202011230020
513120140431440
6532354450504
7101053302001
oct17042055410
95187114724
102022202120
11948531424
12485293a34
13262c4bc03
141527d81a8
15bc7eaeea
hex78885b08

2022202120 has 64 divisors (see below), whose sum is σ = 4632940800. Its totient is φ = 794223360.

The previous prime is 2022202097. The next prime is 2022202141. The reversal of 2022202120 is 212022202.

It is a self number, because there is not a number n which added to its sum of digits gives 2022202120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762637 + ... + 765283.

It is an arithmetic number, because the mean of its divisors is an integer number (72389700).

Almost surely, 22022202120 is an apocalyptic number.

2022202120 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 2022202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316470400).

2022202120 is an abundant number, since it is smaller than the sum of its proper divisors (2610738680).

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

2022202120 is a wasteful number, since it uses less digits than its factorization.

2022202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2022202120 is about 44968.9016988407. The cubic root of 2022202120 is about 1264.5660569521.

Adding to 2022202120 its reverse (212022202), we get a palindrome (2234224322).

The spelling of 2022202120 in words is "two billion, twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 269 284 355 538 568 710 1076 1345 1420 2152 2647 2690 2840 5294 5380 10588 10760 13235 19099 21176 26470 38198 52940 76396 95495 105880 152792 187937 190990 375874 381980 712043 751748 763960 939685 1424086 1503496 1879370 2848172 3560215 3758740 5696344 7120430 7517480 14240860 28481720 50555053 101110106 202220212 252775265 404440424 505550530 1011101060 2022202120