Search a number
-
+
22874436 = 223213371321
BaseRepresentation
bin101011101000…
…0100101000100
31121001010211100
41113100211010
521323440221
62134140100
7365300214
oct127204504
947033740
1022874436
1111a039a2
1277b1630
13497b890
143076244
15201c926
hex15d0944

22874436 has 72 divisors (see below), whose sum is σ = 64000664. Its totient is φ = 6842880.

The previous prime is 22874419. The next prime is 22874437. The reversal of 22874436 is 63447822.

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 13838400 = 3006^2 + 3720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22874436.

It is not an unprimeable number, because it can be changed into a prime (22874437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16656 + ... + 17976.

Almost surely, 222874436 is an apocalyptic number.

22874436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22874436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32000332).

22874436 is an abundant number, since it is smaller than the sum of its proper divisors (41126228).

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

22874436 is a wasteful number, since it uses less digits than its factorization.

22874436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1376 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 22874436 is about 4782.7226555593. The cubic root of 22874436 is about 283.8682355103.

The spelling of 22874436 in words is "twenty-two million, eight hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1321 1332 1443 1924 2642 2886 3963 4329 5284 5772 7926 8658 11889 15852 17173 17316 23778 34346 47556 48877 51519 68692 97754 103038 146631 154557 195508 206076 293262 309114 439893 586524 618228 635401 879786 1270802 1759572 1906203 2541604 3812406 5718609 7624812 11437218 22874436