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1225558845 = 325721374057
BaseRepresentation
bin100100100001100…
…1000101100111101
310011102002211200100
41021003020230331
510002220340340
6321335551313
742241035600
oct11103105475
93142084610
101225558845
11579883555
122a252b539
13166ba2b64
14b8aa4337
15728d8830
hex490c8b3d

1225558845 has 72 divisors (see below), whose sum is σ = 2489777784. Its totient is φ = 556028928.

The previous prime is 1225558777. The next prime is 1225558861. The reversal of 1225558845 is 5488555221.

1225558845 is a `hidden beast` number, since 1 + 2 + 25 + 5 + 588 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161951076 + 1063607769 = 12726^2 + 32613^2 .

It is not a de Polignac number, because 1225558845 - 29 = 1225558333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1225558845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300057 + ... + 304113.

It is an arithmetic number, because the mean of its divisors is an integer number (34580247).

Almost surely, 21225558845 is an apocalyptic number.

1225558845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1225558845 is an abundant number, since it is smaller than the sum of its proper divisors (1264218939).

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

1225558845 is a wasteful number, since it uses less digits than its factorization.

1225558845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4209 counting only the distinct ones).

The product of its digits is 640000, while the sum is 45.

The square root of 1225558845 is about 35007.9825896895. The cubic root of 1225558845 is about 1070.1501652582.

The spelling of 1225558845 in words is "one billion, two hundred twenty-five million, five hundred fifty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 137 147 245 315 411 441 685 735 959 1233 2055 2205 2877 4057 4795 6165 6713 8631 12171 14385 20139 20285 28399 33565 36513 43155 60417 60855 85197 100695 141995 182565 198793 255591 302085 425985 555809 596379 993965 1277955 1667427 1789137 2779045 2981895 3890663 5002281 8337135 8945685 11671989 19453315 25011405 27234641 35015967 58359945 81703923 136173205 175079835 245111769 408519615 1225558845