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2272430420 = 225138740117
BaseRepresentation
bin1000011101110010…
…1000100101010100
312212100222102111122
42013130220211110
514123220233140
61013254023112
7110212224401
oct20734504524
95770872448
102272430420
11a66800677
12535047a98
132a2a414b0
14177b332a8
15d4777ab5
hex87728954

2272430420 has 24 divisors (see below), whose sum is σ = 5139189384. Its totient is φ = 839051136.

The previous prime is 2272430399. The next prime is 2272430507. The reversal of 2272430420 is 240342722.

It can be written as a sum of positive squares in 4 ways, for example, as 41190724 + 2231239696 = 6418^2 + 47236^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2272430420.

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, 4369799 + ... + 4370318.

It is an arithmetic number, because the mean of its divisors is an integer number (214132891).

Almost surely, 22272430420 is an apocalyptic number.

2272430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272430420 is an abundant number, since it is smaller than the sum of its proper divisors (2866758964).

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

2272430420 is a wasteful number, since it uses less digits than its factorization.

2272430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740139 (or 8740137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 2272430420 is about 47670.0159429384. The cubic root of 2272430420 is about 1314.7107017794.

The spelling of 2272430420 in words is "two billion, two hundred seventy-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8740117 17480234 34960468 43700585 87401170 113621521 174802340 227243042 454486084 568107605 1136215210 2272430420