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225991488 = 2633143883
BaseRepresentation
bin11010111100001…
…01101101000000
3120202020120001010
431132011231000
5430323211423
634231440520
75412616212
oct1536055500
9522216033
10225991488
11106625828
1263826140
1337a87898
142202a5b2
1514c90693
hexd785b40

225991488 has 112 divisors (see below), whose sum is σ = 632293376. Its totient is φ = 71124480.

The previous prime is 225991481. The next prime is 225991541. The reversal of 225991488 is 884199522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225991481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255495 + ... + 256377.

Almost surely, 2225991488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225991488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316146688).

225991488 is an abundant number, since it is smaller than the sum of its proper divisors (406301888).

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

225991488 is a wasteful number, since it uses less digits than its factorization.

225991488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 225991488 is about 15033.0132707984. The cubic root of 225991488 is about 609.1122875557.

The spelling of 225991488 in words is "two hundred twenty-five million, nine hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 129 172 186 192 248 258 344 372 496 516 688 744 883 992 1032 1333 1376 1488 1766 1984 2064 2649 2666 2752 2976 3532 3999 4128 5298 5332 5952 7064 7998 8256 10596 10664 14128 15996 21192 21328 27373 28256 31992 37969 42384 42656 54746 56512 63984 75938 82119 84768 85312 109492 113907 127968 151876 164238 169536 218984 227814 255936 303752 328476 437968 455628 607504 656952 875936 911256 1177039 1215008 1313904 1751872 1822512 2354078 2430016 2627808 3531117 3645024 4708156 5255616 7062234 7290048 9416312 14124468 18832624 28248936 37665248 56497872 75330496 112995744 225991488