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22010112020 = 22513292919113
BaseRepresentation
bin10100011111111001…
…111010100000010100
32002210220220112120002
4110133321322200110
5330034042041040
614040013030432
71406300602541
oct243771724024
962726815502
1022010112020
119375152a26
124323185418
1320c9c82830
1410cb253bc8
1588c479a15
hex51fe7a814

22010112020 has 48 divisors (see below), whose sum is σ = 51493170960. Its totient is φ = 7846573056.

The previous prime is 22010111999. The next prime is 22010112023. The reversal of 22010112020 is 2021101022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 282172804 + 21727939216 = 16798^2 + 147404^2 .

It is a super-2 number, since 2×220101120202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22010111992 and 22010112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010112023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452017 + ... + 1467096.

It is an arithmetic number, because the mean of its divisors is an integer number (1072774395).

Almost surely, 222010112020 is an apocalyptic number.

22010112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010112020 is an abundant number, since it is smaller than the sum of its proper divisors (29483058940).

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

22010112020 is a wasteful number, since it uses less digits than its factorization.

22010112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919164 (or 2919162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22010112020 its reverse (2021101022), we get a palindrome (24031213042).

The spelling of 22010112020 in words is "twenty-two billion, ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 2919113 5838226 11676452 14595565 29191130 37948469 58382260 75896938 84654277 151793876 169308554 189742345 338617108 379484690 423271385 758969380 846542770 1100505601 1693085540 2201011202 4402022404 5502528005 11005056010 22010112020