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225224370 = 232571312729
BaseRepresentation
bin11010110110010…
…10011010110010
3120200210120202100
431123022122302
5430124134440
634203201230
75403242550
oct1533123262
9520716670
10225224370
11106151448
1263516216
1337879677
1421caabd0
1514b8d230
hexd6ca6b2

225224370 has 96 divisors (see below), whose sum is σ = 674593920. Its totient is φ = 51068160.

The previous prime is 225224369. The next prime is 225224413. The reversal of 225224370 is 73422522.

225224370 is a `hidden beast` number, since 225 + 2 + 2 + 437 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81166 + ... + 83894.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2225224370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225224370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337296960).

225224370 is an abundant number, since it is smaller than the sum of its proper divisors (449369550).

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

225224370 is a wasteful number, since it uses less digits than its factorization.

225224370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225224370 is about 15007.4771364144. The cubic root of 225224370 is about 608.4223047868.

Adding to 225224370 its reverse (73422522), we get a palindrome (298646892).

The spelling of 225224370 in words is "two hundred twenty-five million, two hundred twenty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 393 630 655 786 917 1179 1310 1834 1965 2358 2729 2751 3930 4585 5458 5502 5895 8187 8253 9170 11790 13645 13755 16374 16506 19103 24561 27290 27510 38206 40935 41265 49122 57309 81870 82530 95515 114618 122805 171927 191030 245610 286545 343854 357499 573090 714998 859635 1072497 1719270 1787495 2144994 2502493 3217491 3574990 5004986 5362485 6434982 7507479 10724970 12512465 15014958 16087455 22522437 25024930 32174910 37537395 45044874 75074790 112612185 225224370