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22232328 = 23317291879
BaseRepresentation
bin101010011001…
…1110100001000
31112211112000120
41110303310020
521142413303
62112303240
7356654166
oct124636410
945745016
1022232328
1111605528
127541b20
1347b5531
142d4a236
151e42553
hex1533d08

22232328 has 64 divisors (see below), whose sum is σ = 60912000. Its totient is φ = 6730752.

The previous prime is 22232323. The next prime is 22232341. The reversal of 22232328 is 82323222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22232298 and 22232307.

It is not an unprimeable number, because it can be changed into a prime (22232323) 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, 10893 + ... + 12771.

It is an arithmetic number, because the mean of its divisors is an integer number (951750).

Almost surely, 222232328 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 22232328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30456000).

22232328 is an abundant number, since it is smaller than the sum of its proper divisors (38679672).

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

22232328 is a wasteful number, since it uses less digits than its factorization.

22232328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 22232328 is about 4715.1169656754. The cubic root of 22232328 is about 281.1868330240.

The spelling of 22232328 in words is "twenty-two million, two hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1879 1972 2958 3758 3944 5637 5916 7516 11274 11832 15032 22548 31943 45096 54491 63886 95829 108982 127772 163473 191658 217964 255544 326946 383316 435928 653892 766632 926347 1307784 1852694 2779041 3705388 5558082 7410776 11116164 22232328