[go: up one dir, main page]

Search a number
-
+
183229056 = 2732533001
BaseRepresentation
bin10101110101111…
…01101010000000
3110202210000000100
422322331222000
5333401312211
630103122400
74353264333
oct1272755200
9422700010
10183229056
119447877a
1251443400
132bc6487a
141a49861a
1511145156
hexaebda80

183229056 has 96 divisors (see below), whose sum is σ = 537388020. Its totient is φ = 59904000.

The previous prime is 183229037. The next prime is 183229073. The reversal of 183229056 is 650922381.

183229056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179989056 + 3240000 = 13416^2 + 1800^2 .

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

It is a super-2 number, since 2×1832290562 = 67145773925302272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 183229056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59556 + ... + 62556.

Almost surely, 2183229056 is an apocalyptic number.

183229056 is a gapful number since it is divisible by the number (16) 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 183229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268694010).

183229056 is an abundant number, since it is smaller than the sum of its proper divisors (354158964).

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

183229056 is a wasteful number, since it uses less digits than its factorization.

183229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 183229056 is about 13536.2127642853. The cubic root of 183229056 is about 567.9779135762.

The spelling of 183229056 in words is "one hundred eighty-three million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3001 3392 3816 5088 6002 6784 7632 9003 10176 12004 15264 18006 20352 24008 27009 30528 36012 48016 54018 61056 72024 96032 108036 144048 159053 192064 216072 288096 318106 384128 432144 477159 576192 636212 864288 954318 1152384 1272424 1431477 1728576 1908636 2544848 2862954 3457152 3817272 5089696 5725908 7634544 10179392 11451816 15269088 20358784 22903632 30538176 45807264 61076352 91614528 183229056