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22988052 = 22325979137
BaseRepresentation
bin101011110110…
…0010100010100
31121020220200100
41113230110110
521341104202
62140414100
7366252363
oct127542424
947226610
1022988052
1111a8129a
127847330
1349bb4c9
1430a57da
15204141c
hex15ec514

22988052 has 72 divisors (see below), whose sum is σ = 60278400. Its totient is φ = 7383168.

The previous prime is 22988027. The next prime is 22988059. The reversal of 22988052 is 25088922.

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

It is a junction number, because it is equal to n+sod(n) for n = 22987998 and 22988016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22988059) 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, 167728 + ... + 167864.

It is an arithmetic number, because the mean of its divisors is an integer number (837200).

Almost surely, 222988052 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 22988052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139200).

22988052 is an abundant number, since it is smaller than the sum of its proper divisors (37290348).

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

22988052 is a wasteful number, since it uses less digits than its factorization.

22988052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 22988052 is about 4794.5856963871. The cubic root of 22988052 is about 284.3374452198.

The spelling of 22988052 in words is "twenty-two million, nine hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 79 118 137 158 177 236 237 274 316 354 411 474 531 548 708 711 822 948 1062 1233 1422 1644 2124 2466 2844 4661 4932 8083 9322 10823 13983 16166 18644 21646 24249 27966 32332 32469 41949 43292 48498 55932 64938 72747 83898 96996 97407 129876 145494 167796 194814 290988 389628 638557 1277114 1915671 2554228 3831342 5747013 7662684 11494026 22988052