Search a number
-
+
22940775 = 325211132331
BaseRepresentation
bin101011110000…
…0110001100111
31121011111211100
41113200301213
521333101100
62135411143
7365664504
oct127406147
947144740
1022940775
1111a49820
127823ab3
1349a2b30
1430924ab
152032400
hex15e0c67

22940775 has 144 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 9504000.

The previous prime is 22940767. The next prime is 22940779. The reversal of 22940775 is 57704922.

It is not a de Polignac number, because 22940775 - 23 = 22940767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22940779) 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 143 ways as a sum of consecutive naturals, for example, 740010 + ... + 740040.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 222940775 is an apocalyptic number.

22940775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22940775 is an abundant number, since it is smaller than the sum of its proper divisors (29055897).

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

22940775 is a wasteful number, since it uses less digits than its factorization.

22940775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 22940775 is about 4789.6529101804. The cubic root of 22940775 is about 284.1423895845.

The spelling of 22940775 in words is "twenty-two million, nine hundred forty thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 23 25 31 33 39 45 55 65 69 75 93 99 115 117 143 155 165 195 207 225 253 275 279 299 325 341 345 403 429 465 495 575 585 713 715 759 775 825 897 975 1023 1035 1209 1265 1287 1395 1495 1705 1725 2015 2139 2145 2277 2325 2475 2691 2925 3069 3289 3565 3575 3627 3795 4433 4485 5115 5175 6045 6325 6417 6435 6975 7475 7843 8525 9269 9867 10075 10695 10725 11385 13299 13455 15345 16445 17825 18135 18975 22165 22425 23529 25575 27807 29601 30225 32085 32175 39215 39897 46345 49335 53475 56925 66495 67275 70587 76725 82225 83421 90675 101959 110825 117645 139035 148005 160425 196075 199485 231725 246675 305877 332475 352935 417105 509795 588225 695175 740025 917631 997425 1529385 1764675 2085525 2548975 4588155 7646925 22940775