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22328352 = 253343601
BaseRepresentation
bin101010100101…
…1010000100000
31120000101202000
41111023100200
521204001402
62114324000
7360534144
oct125132040
946011660
1022328352
1111670692
127589600
13481a157
142d73224
151e60c1c
hex154b420

22328352 has 96 divisors (see below), whose sum is σ = 66749760. Its totient is φ = 7257600.

The previous prime is 22328329. The next prime is 22328359. The reversal of 22328352 is 25382322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223283523 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22328359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36852 + ... + 37452.

It is an arithmetic number, because the mean of its divisors is an integer number (695310).

Almost surely, 222328352 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 22328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33374880).

22328352 is an abundant number, since it is smaller than the sum of its proper divisors (44421408).

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

22328352 is a wasteful number, since it uses less digits than its factorization.

22328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 22328352 is about 4725.2885626171. The cubic root of 22328352 is about 281.5910777562.

The spelling of 22328352 in words is "twenty-two million, three hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 601 688 774 864 1032 1161 1202 1376 1548 1803 2064 2322 2404 3096 3606 4128 4644 4808 5409 6192 7212 9288 9616 10818 12384 14424 16227 18576 19232 21636 25843 28848 32454 37152 43272 51686 57696 64908 77529 86544 103372 129816 155058 173088 206744 232587 259632 310116 413488 465174 519264 620232 697761 826976 930348 1240464 1395522 1860696 2480928 2791044 3721392 5582088 7442784 11164176 22328352