Search a number
-
+
22923936 = 2532783137
BaseRepresentation
bin101011101110…
…0101010100000
31121010122201200
41113130222200
521332031221
62135201200
7365564430
oct127345240
947118650
1022923936
1111a38102
127816200
134998279
14308a2c0
15202c426
hex15dcaa0

22923936 has 144 divisors (see below), whose sum is σ = 75950784. Its totient is φ = 6423552.

The previous prime is 22923917. The next prime is 22923941. The reversal of 22923936 is 63932922.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (34992) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 22923936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167260 + ... + 167396.

It is an arithmetic number, because the mean of its divisors is an integer number (527436).

Almost surely, 222923936 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 22923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37975392).

22923936 is an abundant number, since it is smaller than the sum of its proper divisors (53026848).

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

22923936 is a wasteful number, since it uses less digits than its factorization.

22923936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 22923936 is about 4787.8947356850. The cubic root of 22923936 is about 284.0728504508.

The spelling of 22923936 in words is "twenty-two million, nine hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 137 144 166 168 224 249 252 274 288 332 336 411 498 504 548 581 664 672 747 822 959 996 1008 1096 1162 1233 1328 1494 1644 1743 1918 1992 2016 2192 2324 2466 2656 2877 2988 3288 3486 3836 3984 4384 4648 4932 5229 5754 5976 6576 6972 7672 7968 8631 9296 9864 10458 11371 11508 11952 13152 13944 15344 17262 18592 19728 20916 22742 23016 23904 27888 30688 34113 34524 39456 41832 45484 46032 55776 68226 69048 79597 83664 90968 92064 102339 136452 138096 159194 167328 181936 204678 238791 272904 276192 318388 363872 409356 477582 545808 636776 716373 818712 955164 1091616 1273552 1432746 1637424 1910328 2547104 2865492 3274848 3820656 5730984 7641312 11461968 22923936