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22274334 = 23247113233
BaseRepresentation
bin101010011111…
…0000100011110
31112220122122100
41110332010132
521200234314
62113225530
7360220515
oct124760436
945818570
1022274334
1111634045
1275622a6
1347cb6a4
142d5b67c
151e4ec09
hex153e11e

22274334 has 48 divisors (see below), whose sum is σ = 49937472. Its totient is φ = 7171584.

The previous prime is 22274299. The next prime is 22274341. The reversal of 22274334 is 43347222.

22274334 is a `hidden beast` number, since 2 + 227 + 433 + 4 = 666.

It is a super-2 number, since 2×222743342 = 992291910287112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22274298 and 22274307.

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 23 ways as a sum of consecutive naturals, for example, 95482 + ... + 95714.

It is an arithmetic number, because the mean of its divisors is an integer number (1040364).

Almost surely, 222274334 is an apocalyptic number.

22274334 is an abundant number, since it is smaller than the sum of its proper divisors (27663138).

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

22274334 is a wasteful number, since it uses less digits than its factorization.

22274334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 398 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 22274334 is about 4719.5692600067. The cubic root of 22274334 is about 281.3638140845.

It can be divided in two parts, 2227 and 4334, that added together give a 8-th power (6561 = 38).

The spelling of 22274334 in words is "twenty-two million, two hundred seventy-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 47 94 113 141 226 233 282 339 423 466 678 699 846 1017 1398 2034 2097 4194 5311 10622 10951 15933 21902 26329 31866 32853 47799 52658 65706 78987 95598 98559 157974 197118 236961 473922 1237463 2474926 3712389 7424778 11137167 22274334