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22270152 = 2333137809
BaseRepresentation
bin101010011110…
…1000011001000
31112220102220110
41110331003020
521200121102
62113154320
7360202362
oct124750310
945812813
1022270152
1111630993
12755b9a0
1347c9808
142d59d32
151e4d86c
hex153d0c8

22270152 has 64 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 6981120.

The previous prime is 22270139. The next prime is 22270159. The reversal of 22270152 is 25107222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22270159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27124 + ... + 27932.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 222270152 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 22270152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

22270152 is an abundant number, since it is smaller than the sum of its proper divisors (36827448).

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

22270152 is a wasteful number, since it uses less digits than its factorization.

22270152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 22270152 is about 4719.1261903026. The cubic root of 22270152 is about 281.3462043232.

Adding to 22270152 its reverse (25107222), we get a palindrome (47377374).

It can be divided in two parts, 22270 and 152, that added together give a palindrome (22422).

The spelling of 22270152 in words is "twenty-two million, two hundred seventy thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 809 888 1147 1618 2294 2427 3236 3441 4588 4854 6472 6882 9176 9708 13764 19416 25079 27528 29933 50158 59866 75237 89799 100316 119732 150474 179598 200632 239464 300948 359196 601896 718392 927923 1855846 2783769 3711692 5567538 7423384 11135076 22270152