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22974032 = 242967739
BaseRepresentation
bin101011110100…
…0111001010000
31121020012110002
41113220321100
521340132112
62140225132
7366163454
oct127507120
947205402
1022974032
1111a71804
12783b1a8
1349b5003
1430a0664
15203c1c2
hex15e8e50

22974032 has 40 divisors (see below), whose sum is σ = 46797600. Its totient is φ = 10910592.

The previous prime is 22974011. The next prime is 22974037. The reversal of 22974032 is 23047922.

It is a happy number.

It is a super-2 number, since 2×229740322 = 1055612292674048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 22974032 parts by 6778 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 22973986 and 22974004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22974037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30719 + ... + 31457.

It is an arithmetic number, because the mean of its divisors is an integer number (1169940).

Almost surely, 222974032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22974032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398800).

22974032 is an abundant number, since it is smaller than the sum of its proper divisors (23823568).

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

22974032 is a wasteful number, since it uses less digits than its factorization.

22974032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 22974032 is about 4793.1234075496. The cubic root of 22974032 is about 284.2796293644.

The spelling of 22974032 in words is "twenty-two million, nine hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 464 536 739 1072 1478 1943 2956 3886 5912 7772 11824 15544 21431 31088 42862 49513 85724 99026 171448 198052 342896 396104 792208 1435877 2871754 5743508 11487016 22974032