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22804340 = 22513139631
BaseRepresentation
bin101011011111…
…1011101110100
31120220120200012
41112333131310
521314214330
62132435352
7364555646
oct126773564
946816605
1022804340
1111966269
127778b58
1349559c0
143058896
152006c95
hex15bf774

22804340 has 48 divisors (see below), whose sum is σ = 52026240. Its totient is φ = 8346240.

The previous prime is 22804297. The next prime is 22804343. The reversal of 22804340 is 4340822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22804343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35825 + ... + 36455.

It is an arithmetic number, because the mean of its divisors is an integer number (1083880).

Almost surely, 222804340 is an apocalyptic number.

22804340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22804340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013120).

22804340 is an abundant number, since it is smaller than the sum of its proper divisors (29221900).

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

22804340 is a wasteful number, since it uses less digits than its factorization.

22804340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 22804340 is about 4775.3889893913. The cubic root of 22804340 is about 283.5779786262.

The spelling of 22804340 in words is "twenty-two million, eight hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 631 695 1262 1390 1807 2524 2780 3155 3614 6310 7228 8203 9035 12620 16406 18070 32812 36140 41015 82030 87709 164060 175418 350836 438545 877090 1140217 1754180 2280434 4560868 5701085 11402170 22804340