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22732668 = 223274263
BaseRepresentation
bin101011010110…
…1111101111100
31120202221100200
41112231331330
521304421133
62131123500
7364140000
oct126557574
946687320
1022732668
1111917432
127743590
13492c1aa
14303a700
151ee0913
hex15adf7c

22732668 has 90 divisors (see below), whose sum is σ = 67291224. Its totient is φ = 6470352.

The previous prime is 22732663. The next prime is 22732691. The reversal of 22732668 is 86623722.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22732663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86305 + ... + 86567.

Almost surely, 222732668 is an apocalyptic number.

22732668 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 22732668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33645612).

22732668 is an abundant number, since it is smaller than the sum of its proper divisors (44558556).

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

22732668 is a wasteful number, since it uses less digits than its factorization.

22732668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22732668 is about 4767.8787736267. The cubic root of 22732668 is about 283.2805801056.

The spelling of 22732668 in words is "twenty-two million, seven hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 263 294 343 441 526 588 686 789 882 1029 1052 1372 1578 1764 1841 2058 2367 2401 3087 3156 3682 4116 4734 4802 5523 6174 7203 7364 9468 9604 11046 12348 12887 14406 16569 21609 22092 25774 28812 33138 38661 43218 51548 66276 77322 86436 90209 115983 154644 180418 231966 270627 360836 463932 541254 631463 811881 1082508 1262926 1623762 1894389 2525852 3247524 3788778 5683167 7577556 11366334 22732668