Search a number
-
+
22163148 = 22327372377
BaseRepresentation
bin101010010001…
…0111011001100
31112201000010100
41110202323030
521133210043
62111011100
7356245410
oct124427314
945630110
1022163148
1111568557
127509a90
13478cbb7
142d2cd40
151e2bcd3
hex1522ecc

22163148 has 72 divisors (see below), whose sum is σ = 65784992. Its totient is φ = 6158592.

The previous prime is 22163143. The next prime is 22163149. The reversal of 22163148 is 84136122.

22163148 is a `hidden beast` number, since 2 + 21 + 631 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (22163143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8136 + ... + 10512.

Almost surely, 222163148 is an apocalyptic number.

22163148 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 22163148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32892496).

22163148 is an abundant number, since it is smaller than the sum of its proper divisors (43621844).

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

22163148 is a wasteful number, since it uses less digits than its factorization.

22163148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2426 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 22163148 is about 4707.7752707622. The cubic root of 22163148 is about 280.8948750436.

The spelling of 22163148 in words is "twenty-two million, one hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 2377 3108 4662 4754 7131 9324 9508 14262 16639 21393 28524 33278 42786 49917 66556 85572 87949 99834 149751 175898 199668 263847 299502 351796 527694 599004 615643 791541 1055388 1231286 1583082 1846929 2462572 3166164 3693858 5540787 7387716 11081574 22163148