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225999540 = 223251396581
BaseRepresentation
bin11010111100001…
…11101010110100
3120202020222002100
431132013222310
5430323441130
634231542100
75412651534
oct1536075264
9522228070
10225999540
11106630888
126382a930
1337a8b450
142202d4c4
1514c92c60
hexd787ab4

225999540 has 72 divisors (see below), whose sum is σ = 738272808. Its totient is φ = 55630080.

The previous prime is 225999539. The next prime is 225999577. The reversal of 225999540 is 45999522.

225999540 is a `hidden beast` number, since 2 + 2 + 599 + 9 + 54 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10614564 + 215384976 = 3258^2 + 14676^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45951 + ... + 50630.

It is an arithmetic number, because the mean of its divisors is an integer number (10253789).

Almost surely, 2225999540 is an apocalyptic number.

225999540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225999540 is an abundant number, since it is smaller than the sum of its proper divisors (512273268).

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

225999540 is a wasteful number, since it uses less digits than its factorization.

225999540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96609 (or 96604 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 225999540 is about 15033.2810789927. The cubic root of 225999540 is about 609.1195216245.

The spelling of 225999540 in words is "two hundred twenty-five million, nine hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 96581 193162 289743 386324 482905 579486 869229 965810 1158972 1255553 1448715 1738458 1931620 2511106 2897430 3476916 3766659 4346145 5022212 5794860 6277765 7533318 8692290 11299977 12555530 15066636 17384580 18833295 22599954 25111060 37666590 45199908 56499885 75333180 112999770 225999540