Search a number
-
+
22788045 = 325773991
BaseRepresentation
bin101011011101…
…1011111001101
31120212202022200
41112323133031
521313204140
62132232113
7364460310
oct126733715
946782280
1022788045
1111954aa5
12776b639
13494b467
143052977
152002030
hex15bb7cd

22788045 has 48 divisors (see below), whose sum is σ = 45806592. Its totient is φ = 10264320.

The previous prime is 22788037. The next prime is 22788061. The reversal of 22788045 is 54088722.

It is a happy number.

It is not a de Polignac number, because 22788045 - 23 = 22788037 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22500 + ... + 23490.

It is an arithmetic number, because the mean of its divisors is an integer number (954304).

Almost surely, 222788045 is an apocalyptic number.

It is an amenable number.

22788045 is an abundant number, since it is smaller than the sum of its proper divisors (23018547).

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

22788045 is a wasteful number, since it uses less digits than its factorization.

22788045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 22788045 is about 4773.6825407645. The cubic root of 22788045 is about 283.5104183251.

The spelling of 22788045 in words is "twenty-two million, seven hundred eighty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 991 1095 1533 2555 2973 3285 4599 4955 6937 7665 8919 14865 20811 22995 34685 44595 62433 72343 104055 217029 312165 361715 506401 651087 1085145 1519203 2532005 3255435 4557609 7596015 22788045