Search a number
-
+
222525036 = 223317196379
BaseRepresentation
bin11010100001101…
…11011001101100
3120111201102222000
431100313121230
5423431300121
634025252300
75341301016
oct1520673154
9514642860
10222525036
11104678398
1262634090
1337142b26
14217a71b6
1514808526
hexd43766c

222525036 has 96 divisors (see below), whose sum is σ = 643104000. Its totient is φ = 66127104.

The previous prime is 222524987. The next prime is 222525047. The reversal of 222525036 is 630525222.

222525036 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31695 + ... + 38073.

It is an arithmetic number, because the mean of its divisors is an integer number (6699000).

Almost surely, 2222525036 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 222525036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321552000).

222525036 is an abundant number, since it is smaller than the sum of its proper divisors (420578964).

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

222525036 is a wasteful number, since it uses less digits than its factorization.

222525036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 222525036 is about 14917.2730751971. The cubic root of 222525036 is about 605.9818639803.

It can be divided in two parts, 2225 and 25036, that added together give a triangular number (27261 = T233).

The spelling of 222525036 in words is "two hundred twenty-two million, five hundred twenty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 459 513 612 646 684 918 969 1026 1292 1836 1938 2052 2907 3876 5814 6379 8721 11628 12758 17442 19137 25516 34884 38274 57411 76548 108443 114822 121201 172233 216886 229644 242402 325329 344466 363603 433772 484804 650658 688932 727206 975987 1090809 1301316 1454412 1951974 2060417 2181618 2927961 3272427 3903948 4120834 4363236 5855922 6181251 6544854 8241668 11711844 12362502 13089708 18543753 24725004 37087506 55631259 74175012 111262518 222525036