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225407153060 = 22573154388461
BaseRepresentation
bin1101000111101101010…
…0000011001110100100
3210112211000022210022022
43101323110003032210
512143113212344220
6251314533322312
722166541121355
oct3217324031644
9715730283268
10225407153060
118765a509361
1237828496398
1318342ccca5b
14aca4571d2c
155ce3c6e925
hex347b5033a4

225407153060 has 24 divisors (see below), whose sum is σ = 479839339896. Its totient is φ = 88927752960.

The previous prime is 225407153057. The next prime is 225407153063. The reversal of 225407153060 is 60351704522.

It is an interprime number because it is at equal distance from previous prime (225407153057) and next prime (225407153063).

It can be written as a sum of positive squares in 4 ways, for example, as 6615219556 + 218791933504 = 81334^2 + 467752^2 .

It is a super-2 number, since 2×2254071530602 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225407153060.

It is not an unprimeable number, because it can be changed into a prime (225407153063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77192771 + ... + 77195690.

It is an arithmetic number, because the mean of its divisors is an integer number (19993305829).

Almost surely, 2225407153060 is an apocalyptic number.

225407153060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225407153060 is an abundant number, since it is smaller than the sum of its proper divisors (254432186836).

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

225407153060 is a wasteful number, since it uses less digits than its factorization.

225407153060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154388543 (or 154388541 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 225407153060 its reverse (60351704522), we get a palindrome (285758857582).

The spelling of 225407153060 in words is "two hundred twenty-five billion, four hundred seven million, one hundred fifty-three thousand, sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 154388461 308776922 617553844 771942305 1543884610 3087769220 11270357653 22540715306 45081430612 56351788265 112703576530 225407153060