Search a number
-
+
22289148 = 2233729483
BaseRepresentation
bin101010100000…
…1101011111100
31112221101222000
41111001223330
521201223043
62113422300
7360311640
oct125015374
945841860
1022289148
1111644192
12756a990
13480535b
142d62c20
151e542d3
hex1541afc

22289148 has 48 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6368112.

The previous prime is 22289131. The next prime is 22289153. The reversal of 22289148 is 84198222.

It is a super-2 number, since 2×222891482 = 993612237131808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 13986 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 222289148 is an apocalyptic number.

22289148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22289148 is an abundant number, since it is smaller than the sum of its proper divisors (43755012).

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

22289148 is a wasteful number, since it uses less digits than its factorization.

22289148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503 (or 29495 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22289148 is about 4721.1384220334. The cubic root of 22289148 is about 281.4261758421.

The spelling of 22289148 in words is "twenty-two million, two hundred eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 29483 58966 88449 117932 176898 206381 265347 353796 412762 530694 619143 796041 825524 1061388 1238286 1592082 1857429 2476572 3184164 3714858 5572287 7429716 11144574 22289148