Search a number
-
+
22053152 = 2511314347
BaseRepresentation
bin101010000100…
…0000100100000
31112111102020102
41110020010200
521121200102
62104401532
7355306622
oct124100440
945442212
1022053152
11114a2950
1274762a8
134751b04
142d00c12
151e09402
hex1508120

22053152 has 96 divisors (see below), whose sum is σ = 51093504. Its totient is φ = 9273600.

The previous prime is 22053149. The next prime is 22053173. The reversal of 22053152 is 25135022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469193 + ... + 469239.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 222053152 is an apocalyptic number.

22053152 is a gapful number since it is divisible by the number (22) 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 22053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546752).

22053152 is an abundant number, since it is smaller than the sum of its proper divisors (29040352).

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

22053152 is a wasteful number, since it uses less digits than its factorization.

22053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 22053152 is about 4696.0783639117. The cubic root of 22053152 is about 280.4294091469.

Adding to 22053152 its reverse (25135022), we get a palindrome (47188174).

The spelling of 22053152 in words is "twenty-two million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 43 44 47 62 86 88 94 124 172 176 188 248 341 344 352 376 473 496 517 682 688 752 946 992 1034 1333 1364 1376 1457 1504 1892 2021 2068 2666 2728 2914 3784 4042 4136 5332 5456 5828 7568 8084 8272 10664 10912 11656 14663 15136 16027 16168 16544 21328 22231 23312 29326 32054 32336 42656 44462 46624 58652 62651 64108 64672 88924 117304 125302 128216 177848 234608 250604 256432 355696 469216 501208 512864 689161 711392 1002416 1378322 2004832 2756644 5513288 11026576 22053152