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1225719072 = 253220632
BaseRepresentation
bin100100100001110…
…1111110100100000
310011102101222110200
41021003233310200
510002241002242
6321343225200
742242303664
oct11103576440
93142358420
101225719072
11579982976
122a25a8200
13166c2aa76
14b8b068a4
157291b04c
hex490efd20

1225719072 has 54 divisors (see below), whose sum is σ = 3487329027. Its totient is φ = 408374976.

The previous prime is 1225719071. The next prime is 1225719073. The reversal of 1225719072 is 2709175221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1225719072 is a `hidden beast` number, since 12 + 2 + 571 + 9 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1225719071) and next prime (1225719073).

It can be written as a sum of positive squares in only one way, i.e., 612859536 + 612859536 = 24756^2 + 24756^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24756.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1225719071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 593113 + ... + 595175.

Almost surely, 21225719072 is an apocalyptic number.

1225719072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1225719072 is an abundant number, since it is smaller than the sum of its proper divisors (2261609955).

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

1225719072 is an frugal number, since it uses more digits than its factorization.

1225719072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1225719072 is about 35010.2709501083. The cubic root of 1225719072 is about 1070.1967996241.

It can be divided in two parts, 12257 and 19072, that added together give a square (31329 = 1772).

The spelling of 1225719072 in words is "one billion, two hundred twenty-five million, seven hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2063 4126 6189 8252 12378 16504 18567 24756 33008 37134 49512 66016 74268 99024 148536 198048 297072 594144 4255969 8511938 12767907 17023876 25535814 34047752 38303721 51071628 68095504 76607442 102143256 136191008 153214884 204286512 306429768 408573024 612859536 1225719072