Search a number
-
+
22880952 = 23322341337
BaseRepresentation
bin101011101001…
…0001010111000
31121001110202200
41113102022320
521324142302
62134230200
7365325213
oct127221270
947043680
1022880952
1111a08886
1277b5360
134981833
14307877a
15201e81c
hex15d22b8

22880952 has 96 divisors (see below), whose sum is σ = 66437280. Its totient is φ = 7096320.

The previous prime is 22880951. The next prime is 22880981. The reversal of 22880952 is 25908822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22880951) 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, 67728 + ... + 68064.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 222880952 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 22880952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640).

22880952 is an abundant number, since it is smaller than the sum of its proper divisors (43556328).

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

22880952 is a wasteful number, since it uses less digits than its factorization.

22880952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

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

The square root of 22880952 is about 4783.4038090046. The cubic root of 22880952 is about 283.8951871376.

It can be divided in two parts, 22880 and 952, that added together give a palindrome (23832).

The spelling of 22880952 in words is "twenty-two million, eight hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 92 123 138 164 184 207 246 276 328 337 369 414 492 552 674 738 828 943 984 1011 1348 1476 1656 1886 2022 2696 2829 2952 3033 3772 4044 5658 6066 7544 7751 8088 8487 11316 12132 13817 15502 16974 22632 23253 24264 27634 31004 33948 41451 46506 55268 62008 67896 69759 82902 93012 110536 124353 139518 165804 186024 248706 279036 317791 331608 497412 558072 635582 953373 994824 1271164 1906746 2542328 2860119 3813492 5720238 7626984 11440476 22880952