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222625152 = 2733371741
BaseRepresentation
bin11010100010011…
…11110110000000
3120111220112022000
431101033312000
5423443001102
634031344000
75342165631
oct1521176600
9514815260
10222625152
11104736632
1262682000
1337179579
14217d1888
151482801c
hexd44fd80

222625152 has 128 divisors (see below), whose sum is σ = 675199200. Its totient is φ = 72161280.

The previous prime is 222625129. The next prime is 222625157. The reversal of 222625152 is 251526222.

222625152 is a `hidden beast` number, since 2 + 22 + 625 + 15 + 2 = 666.

222625152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222625157) 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, 127002 + ... + 128742.

Almost surely, 2222625152 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 222625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337599600).

222625152 is an abundant number, since it is smaller than the sum of its proper divisors (452574048).

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

222625152 is a wasteful number, since it uses less digits than its factorization.

222625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1783 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 222625152 is about 14920.6284049969. The cubic root of 222625152 is about 606.0727292379.

The spelling of 222625152 in words is "two hundred twenty-two million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1741 1776 1998 2368 2664 3456 3482 3552 3996 4736 5223 5328 6964 7104 7992 10446 10656 13928 14208 15669 15984 20892 21312 27856 31338 31968 41784 42624 47007 55712 62676 63936 64417 83568 94014 111424 125352 127872 128834 167136 188028 193251 222848 250704 257668 334272 376056 386502 501408 515336 579753 668544 752112 773004 1002816 1030672 1159506 1504224 1546008 1739259 2005632 2061344 2319012 3008448 3092016 3478518 4122688 4638024 6016896 6184032 6957036 8245376 9276048 12368064 13914072 18552096 24736128 27828144 37104192 55656288 74208384 111312576 222625152