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1225448964 = 223234040249
BaseRepresentation
bin100100100001010…
…1101111000000100
310011101220020221200
41021002231320010
510002203331324
6321333342500
742240100335
oct11102557004
93141806850
101225448964
11579808a43
122a2497a30
13166b64b3c
14b8a7628c
15728b5ec9
hex490ade04

1225448964 has 18 divisors (see below), whose sum is σ = 3097662750. Its totient is φ = 408482976.

The previous prime is 1225448963. The next prime is 1225448981. The reversal of 1225448964 is 4698445221.

It is a happy number.

1225448964 is a `hidden beast` number, since 1 + 22 + 544 + 89 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1076364864 + 149084100 = 32808^2 + 12210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (1225448963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17020089 + ... + 17020160.

It is an arithmetic number, because the mean of its divisors is an integer number (172092375).

Almost surely, 21225448964 is an apocalyptic number.

It is an amenable number.

1225448964 is an abundant number, since it is smaller than the sum of its proper divisors (1872213786).

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

1225448964 is a wasteful number, since it uses less digits than its factorization.

1225448964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34040259 (or 34040254 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1225448964 is about 35006.4131838725. The cubic root of 1225448964 is about 1070.1181818396.

It can be divided in two parts, 122544896 and 4, that added together give a square (122544900 = 110702).

The spelling of 1225448964 in words is "one billion, two hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 34040249 68080498 102120747 136160996 204241494 306362241 408482988 612724482 1225448964