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22772340 = 2234514057
BaseRepresentation
bin101011011011…
…1101001110100
31120211221210000
41112313221310
521312203330
62132031300
7364363443
oct126675164
946757700
1022772340
1111944218
127762530
134944276
14304ad5a
151eec560
hex15b7a74

22772340 has 60 divisors (see below), whose sum is σ = 71442756. Its totient is φ = 6072192.

The previous prime is 22772297. The next prime is 22772359. The reversal of 22772340 is 4327722.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 19131876 = 1908^2 + 4374^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5409 + ... + 8648.

Almost surely, 222772340 is an apocalyptic number.

22772340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22772340 is an abundant number, since it is smaller than the sum of its proper divisors (48670416).

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

22772340 is a wasteful number, since it uses less digits than its factorization.

22772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 22772340 is about 4772.0373007763. The cubic root of 22772340 is about 283.4452737230.

The spelling of 22772340 in words is "twenty-two million, seven hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14057 28114 42171 56228 70285 84342 126513 140570 168684 210855 253026 281140 379539 421710 506052 632565 759078 843420 1138617 1265130 1518156 1897695 2277234 2530260 3795390 4554468 5693085 7590780 11386170 22772340