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225094392 = 23325361967
BaseRepresentation
bin11010110101010…
…10101011111000
3120200112222110100
431122222223320
5430111010032
634200315400
75402161605
oct1532525370
9520488410
10225094392
11106072826
1263472b60
1337832463
1421c756ac
1514b6497c
hexd6aaaf8

225094392 has 96 divisors (see below), whose sum is σ = 631968480. Its totient is φ = 72334080.

The previous prime is 225094369. The next prime is 225094393. The reversal of 225094392 is 293490522.

225094392 is a `hidden beast` number, since 22 + 509 + 43 + 92 = 666.

225094392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225094393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232293 + ... + 233259.

It is an arithmetic number, because the mean of its divisors is an integer number (6583005).

Almost surely, 2225094392 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 225094392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315984240).

225094392 is an abundant number, since it is smaller than the sum of its proper divisors (406874088).

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

225094392 is a wasteful number, since it uses less digits than its factorization.

225094392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 225094392 is about 15003.1460700748. The cubic root of 225094392 is about 608.3052411789.

The spelling of 225094392 in words is "two hundred twenty-five million, ninety-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 61 72 106 122 159 183 212 244 318 366 424 477 488 549 636 732 954 967 1098 1272 1464 1908 1934 2196 2901 3233 3816 3868 4392 5802 6466 7736 8703 9699 11604 12932 17406 19398 23208 25864 29097 34812 38796 51251 58194 58987 69624 77592 102502 116388 117974 153753 176961 205004 232776 235948 307506 353922 410008 461259 471896 530883 615012 707844 922518 1061766 1230024 1415688 1845036 2123532 3126311 3690072 4247064 6252622 9378933 12505244 18757866 25010488 28136799 37515732 56273598 75031464 112547196 225094392