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27422226 = 2341329449
BaseRepresentation
bin110100010011…
…0111000010010
31220121012020000
41220212320102
524010002401
62415430430
7452041116
oct150467022
956535200
1027422226
111452a7a7
129225416
1358b1890
1438db746
15261a186
hex1a26e12

27422226 has 80 divisors (see below), whose sum is σ = 68607000. Its totient is φ = 8128512.

The previous prime is 27422209. The next prime is 27422237. The reversal of 27422226 is 62222472.

It can be written as a sum of positive squares in 4 ways, for example, as 20657025 + 6765201 = 4545^2 + 2601^2 .

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 27422226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60850 + ... + 61298.

Almost surely, 227422226 is an apocalyptic number.

27422226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27422226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303500).

27422226 is an abundant number, since it is smaller than the sum of its proper divisors (41184774).

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

27422226 is a wasteful number, since it uses less digits than its factorization.

27422226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

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

The square root of 27422226 is about 5236.6235304822. The cubic root of 27422226 is about 301.5557185209. Note that the first 3 decimals are identical.

Adding to 27422226 its reverse (62222472), we get a palindrome (89644698).

It can be divided in two parts, 274 and 22226, that added together give a square (22500 = 1502).

The spelling of 27422226 in words is "twenty-seven million, four hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 449 522 702 754 783 898 1053 1131 1347 1566 2106 2262 2349 2694 3393 4041 4698 5837 6786 8082 10179 11674 12123 13021 17511 20358 24246 26042 30537 35022 36369 39063 52533 61074 72738 78126 105066 117189 157599 169273 234378 315198 338546 351567 472797 507819 703134 945594 1015638 1054701 1523457 2109402 3046914 4570371 9140742 13711113 27422226