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225076992 = 283725981
BaseRepresentation
bin11010110101001…
…10011100000000
3120200112002120220
431122212130000
5430104430432
634200103040
75402060100
oct1532463400
9520462526
10225076992
11106060748
1263464a80
133782756a
1421c6d200
1514b5e72c
hexd6a6700

225076992 has 108 divisors (see below), whose sum is σ = 696950856. Its totient is φ = 64296960.

The previous prime is 225076987. The next prime is 225076997. The reversal of 225076992 is 299670522.

It is an interprime number because it is at equal distance from previous prime (225076987) and next prime (225076997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225076997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34642 + ... + 40622.

Almost surely, 2225076992 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 225076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348475428).

225076992 is an abundant number, since it is smaller than the sum of its proper divisors (471873864).

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

225076992 is an equidigital number, since it uses as much as digits as its factorization.

225076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 225076992 is about 15002.5661804906. The cubic root of 225076992 is about 608.2895665933.

The spelling of 225076992 in words is "two hundred twenty-five million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 5981 6272 9408 11962 12544 17943 18816 23924 35886 37632 41867 47848 71772 83734 95696 125601 143544 167468 191392 251202 287088 293069 334936 382784 502404 574176 586138 669872 765568 879207 1004808 1148352 1172276 1339744 1531136 1758414 2009616 2296704 2344552 2679488 3516828 4019232 4593408 4689104 5358976 7033656 8038464 9378208 10717952 14067312 16076928 18756416 28134624 32153856 37512832 56269248 75025664 112538496 225076992