Search a number
-
+
22822074 = 236111423
BaseRepresentation
bin101011100001…
…1110010111010
31120221111000000
41113003302322
521320301244
62133053430
7364661442
oct127036272
946844000
1022822074
1111978620
127787276
134960ab2
143061122
15200c169
hex15c3cba

22822074 has 56 divisors (see below), whose sum is σ = 56031552. Its totient is φ = 6910920.

The previous prime is 22822067. The next prime is 22822087. The reversal of 22822074 is 47022822.

It is a super-2 number, since 2×228220742 = 1041694123322952, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15327 + ... + 16749.

Almost surely, 222822074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22822074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015776).

22822074 is an abundant number, since it is smaller than the sum of its proper divisors (33209478).

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

22822074 is a wasteful number, since it uses less digits than its factorization.

22822074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22822074 is about 4777.2454406279. The cubic root of 22822074 is about 283.6514685676.

Adding to 22822074 its reverse (47022822), we get a palindrome (69844896).

It can be divided in two parts, 2282 and 2074, that added together give a square (4356 = 662).

The spelling of 22822074 in words is "twenty-two million, eight hundred twenty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1423 1458 1782 2673 2846 4269 5346 8019 8538 12807 15653 16038 25614 31306 38421 46959 76842 93918 115263 140877 230526 281754 345789 422631 691578 845262 1037367 1267893 2074734 2535786 3803679 7607358 11411037 22822074