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22274406 = 2337112487
BaseRepresentation
bin101010011111…
…0000101100110
31112220122202000
41110332011212
521200240111
62113230130
7360220650
oct124760546
945818660
1022274406
1111634100
127562346
1347cb72b
142d5b6d0
151e4ec56
hex153e166

22274406 has 96 divisors (see below), whose sum is σ = 62307840. Its totient is φ = 5773680.

The previous prime is 22274383. The next prime is 22274423. The reversal of 22274406 is 60447222.

It is a happy number.

It is a super-2 number, since 2×222744062 = 992298325305672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22274406.

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 47 ways as a sum of consecutive naturals, for example, 45495 + ... + 45981.

It is an arithmetic number, because the mean of its divisors is an integer number (649040).

Almost surely, 222274406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22274406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153920).

22274406 is an abundant number, since it is smaller than the sum of its proper divisors (40033434).

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

22274406 is a wasteful number, since it uses less digits than its factorization.

22274406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

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

The square root of 22274406 is about 4719.5768878153. The cubic root of 22274406 is about 281.3641172462.

The spelling of 22274406 in words is "twenty-two million, two hundred seventy-four thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 487 594 693 726 847 974 1089 1386 1461 1694 2079 2178 2541 2922 3267 3409 4158 4383 5082 5357 6534 6818 7623 8766 10227 10714 13149 15246 16071 20454 22869 26298 30681 32142 37499 45738 48213 58927 61362 74998 92043 96426 112497 117854 144639 176781 184086 224994 289278 337491 353562 412489 530343 674982 824978 1012473 1060686 1237467 1591029 2024946 2474934 3182058 3712401 7424802 11137203 22274406