Search a number
-
+
22457568 = 2537231453
BaseRepresentation
bin101010110101…
…0110011100000
31120020221222210
41111222303200
521222120233
62121202120
7361612650
oct125526340
946227883
1022457568
1111749781
127630340
134863c03
142da8360
151e89163
hex156ace0

22457568 has 96 divisors (see below), whose sum is σ = 70350336. Its totient is φ = 6133248.

The previous prime is 22457551. The next prime is 22457569. The reversal of 22457568 is 86575422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22457569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14730 + ... + 16182.

It is an arithmetic number, because the mean of its divisors is an integer number (732816).

Almost surely, 222457568 is an apocalyptic number.

22457568 is a gapful number since it is divisible by the number (28) 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 22457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175168).

22457568 is an abundant number, since it is smaller than the sum of its proper divisors (47892768).

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

22457568 is a wasteful number, since it uses less digits than its factorization.

22457568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 22457568 is about 4738.9416539983. The cubic root of 22457568 is about 282.1332301398.

The spelling of 22457568 in words is "twenty-two million, four hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1453 1932 2208 2576 2906 3864 4359 5152 5812 7728 8718 10171 11624 15456 17436 20342 23248 30513 33419 34872 40684 46496 61026 66838 69744 81368 100257 122052 133676 139488 162736 200514 233933 244104 267352 325472 401028 467866 488208 534704 701799 802056 935732 976416 1069408 1403598 1604112 1871464 2807196 3208224 3742928 5614392 7485856 11228784 22457568