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2246010080 = 25517825739
BaseRepresentation
bin1000010111011111…
…0110010011100000
312210112021010121112
42011313312103200
514044434310310
61010511442452
7106441525226
oct20567662340
95715233545
102246010080
11a528a5686
12528226428
1329a420962
14174416b16
15d22a9705
hex85df64e0

2246010080 has 48 divisors (see below), whose sum is σ = 5618334960. Its totient is φ = 845555712.

The previous prime is 2246010079. The next prime is 2246010101. The reversal of 2246010080 is 800106422.

2246010080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22460100802 = 10089122558923212800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410150 + ... + 415589.

It is an arithmetic number, because the mean of its divisors is an integer number (117048645).

Almost surely, 22246010080 is an apocalyptic number.

2246010080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246010080 is an abundant number, since it is smaller than the sum of its proper divisors (3372324880).

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

2246010080 is a wasteful number, since it uses less digits than its factorization.

2246010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825771 (or 825763 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2246010080 is about 47392.0887912740. The cubic root of 2246010080 is about 1309.5956796631.

The spelling of 2246010080 in words is "two billion, two hundred forty-six million, ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 825739 1651478 3302956 4128695 6605912 8257390 13211824 14037563 16514780 26423648 28075126 33029560 56150252 66059120 70187815 112300504 132118240 140375630 224601008 280751260 449202016 561502520 1123005040 2246010080