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2257612020 = 223354180763
BaseRepresentation
bin1000011010010000…
…0110110011110100
312211100002120111000
42012210012303310
514110422041040
61012004243300
7106642246146
oct20644066364
95740076430
102257612020
11a593aa364
125300a0530
1329c953701
14175b96c96
15d32ec130
hex86906cf4

2257612020 has 48 divisors (see below), whose sum is σ = 7023683520. Its totient is φ = 602029728.

The previous prime is 2257611997. The next prime is 2257612043. The reversal of 2257612020 is 202167522.

2257612020 is a `hidden beast` number, since 2 + 25 + 7 + 612 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2257611997) and next prime (2257612043).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2089842 + ... + 2090921.

It is an arithmetic number, because the mean of its divisors is an integer number (146326740).

Almost surely, 22257612020 is an apocalyptic number.

2257612020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257612020 is an abundant number, since it is smaller than the sum of its proper divisors (4766071500).

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

2257612020 is a wasteful number, since it uses less digits than its factorization.

2257612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180781 (or 4180773 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2257612020 is about 47514.3348895888. The cubic root of 2257612020 is about 1311.8467475727.

Adding to 2257612020 its reverse (202167522), we get a palindrome (2459779542).

It can be divided in two parts, 22576 and 12020, that added together give a square (34596 = 1862).

The spelling of 2257612020 in words is "two billion, two hundred fifty-seven million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4180763 8361526 12542289 16723052 20903815 25084578 37626867 41807630 50169156 62711445 75253734 83615260 112880601 125422890 150507468 188134335 225761202 250845780 376268670 451522404 564403005 752537340 1128806010 2257612020