Search a number
-
+
22674420 = 223251031223
BaseRepresentation
bin101011001111…
…1101111110100
31120122222110100
41112133233310
521301040140
62125554100
7363505116
oct126375764
946588410
1022674420
111188769a
127715930
13490b822
1430233b6
151ecd530
hex159fbf4

22674420 has 72 divisors (see below), whose sum is σ = 69503616. Its totient is φ = 5982912.

The previous prime is 22674401. The next prime is 22674437. The reversal of 22674420 is 2447622.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17929 + ... + 19151.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 222674420 is an apocalyptic number.

22674420 is a gapful number since it is divisible by the number (20) 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 22674420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34751808).

22674420 is an abundant number, since it is smaller than the sum of its proper divisors (46829196).

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

22674420 is a wasteful number, since it uses less digits than its factorization.

22674420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22674420 is about 4761.7664789446. The cubic root of 22674420 is about 283.0384228652.

The spelling of 22674420 in words is "twenty-two million, six hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1223 1236 1545 1854 2060 2446 3090 3669 3708 4635 4892 6115 6180 7338 9270 11007 12230 14676 18345 18540 22014 24460 36690 44028 55035 73380 110070 125969 220140 251938 377907 503876 629845 755814 1133721 1259690 1511628 1889535 2267442 2519380 3779070 4534884 5668605 7558140 11337210 22674420