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22346340 = 22352316193
BaseRepresentation
bin101010100111…
…1101001100100
31120001022102020
41111033221210
521210040330
62114543140
7360640452
oct125175144
946038366
1022346340
1111683155
127597ab0
1348253b3
142d799d2
151e66210
hex154fa64

22346340 has 48 divisors (see below), whose sum is σ = 65294208. Its totient is φ = 5699584.

The previous prime is 22346333. The next prime is 22346341. The reversal of 22346340 is 4364322.

It is a happy number.

It is a super-2 number, since 2×223463402 = 998717822791200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22346340.

It is not an unprimeable number, because it can be changed into a prime (22346341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6717 + ... + 9476.

It is an arithmetic number, because the mean of its divisors is an integer number (1360296).

Almost surely, 222346340 is an apocalyptic number.

22346340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22346340 is an abundant number, since it is smaller than the sum of its proper divisors (42947868).

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

22346340 is a wasteful number, since it uses less digits than its factorization.

22346340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 22346340 is about 4727.1915552472. The cubic root of 22346340 is about 281.6666752253. Note that the first 4 decimals are identical.

The spelling of 22346340 in words is "twenty-two million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 16193 32386 48579 64772 80965 97158 161930 194316 242895 323860 372439 485790 744878 971580 1117317 1489756 1862195 2234634 3724390 4469268 5586585 7448780 11173170 22346340