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22040352 = 2532103743
BaseRepresentation
bin101010000010…
…0111100100000
31112110202200100
41110010330200
521120242402
62104222400
7355224405
oct124047440
945422610
1022040352
1111494274
12746aa00
134749039
142cda2ac
151e0571c
hex1504f20

22040352 has 72 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 7265664.

The previous prime is 22040303. The next prime is 22040353. The reversal of 22040352 is 25304022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22040353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29293 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 222040352 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 22040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

22040352 is an abundant number, since it is smaller than the sum of its proper divisors (41330592).

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

22040352 is a wasteful number, since it uses less digits than its factorization.

22040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22040352 is about 4694.7153268329. The cubic root of 22040352 is about 280.3751434177.

Adding to 22040352 its reverse (25304022), we get a palindrome (47344374).

The spelling of 22040352 in words is "twenty-two million, forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 743 824 927 1236 1486 1648 1854 2229 2472 2972 3296 3708 4458 4944 5944 6687 7416 8916 9888 11888 13374 14832 17832 23776 26748 29664 35664 53496 71328 76529 106992 153058 213984 229587 306116 459174 612232 688761 918348 1224464 1377522 1836696 2448928 2755044 3673392 5510088 7346784 11020176 22040352