Search a number
-
+
22999152 = 24311431013
BaseRepresentation
bin101011110111…
…1000001110000
31121021110220110
41113233001300
521341433102
62140541320
7366326631
oct127570160
947243813
1022999152
1111a89670
127851840
1349c3587
1430a9888
15204486c
hex15ef070

22999152 has 80 divisors (see below), whose sum is σ = 66388608. Its totient is φ = 6800640.

The previous prime is 22999129. The next prime is 22999153. The reversal of 22999152 is 25199922.

It is a self number, because there is not a number n which added to its sum of digits gives 22999152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22999153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22198 + ... + 23210.

Almost surely, 222999152 is an apocalyptic number.

22999152 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 22999152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194304).

22999152 is an abundant number, since it is smaller than the sum of its proper divisors (43389456).

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

22999152 is a wasteful number, since it uses less digits than its factorization.

22999152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 22999152 is about 4795.7431123862. The cubic root of 22999152 is about 284.3832028709.

The spelling of 22999152 in words is "twenty-two million, nine hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1013 1032 1419 1892 2026 2064 2838 3039 3784 4052 5676 6078 7568 8104 11143 11352 12156 16208 22286 22704 24312 33429 43559 44572 48624 66858 87118 89144 130677 133716 174236 178288 261354 267432 348472 479149 522708 534864 696944 958298 1045416 1437447 1916596 2090832 2874894 3833192 5749788 7666384 11499576 22999152