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2202012020 = 2251319974241
BaseRepresentation
bin1000001101000000…
…0000100101110100
312200110110210121202
42003100000211310
514002203341040
61002300432032
7105365536055
oct20320004564
95613423552
102202012020
11a2aa8424a
12515548618
132912873c0
1416c64272c
15cd4b8015
hex83400974

2202012020 has 48 divisors (see below), whose sum is σ = 4983603408. Its totient is φ = 812451840.

The previous prime is 2202011893. The next prime is 2202012037. The reversal of 2202012020 is 202102022.

It can be written as a sum of positive squares in 8 ways, for example, as 133217764 + 2068794256 = 11542^2 + 45484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2202011992 and 2202012010.

It is a congruent number.

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, 517100 + ... + 521340.

It is an arithmetic number, because the mean of its divisors is an integer number (103825071).

Almost surely, 22202012020 is an apocalyptic number.

2202012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202012020 is an abundant number, since it is smaller than the sum of its proper divisors (2781591388).

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

2202012020 is a wasteful number, since it uses less digits than its factorization.

2202012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2202012020 is about 46925.6009018531. The cubic root of 2202012020 is about 1300.9878133162.

Adding to 2202012020 its reverse (202102022), we get a palindrome (2404114042).

The spelling of 2202012020 in words is "two billion, two hundred two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1997 3994 4241 7988 8482 9985 16964 19970 21205 25961 39940 42410 51922 55133 84820 103844 110266 129805 220532 259610 275665 519220 551330 1102660 8469277 16938554 33877108 42346385 84692770 110100601 169385540 220201202 440402404 550503005 1101006010 2202012020