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22257228 = 22372571031
BaseRepresentation
bin101010011100…
…1111001001100
31112212210011210
41110321321030
521144212403
62113014420
7360116610
oct124717114
945783153
1022257228
1111622204
127554410
1347c3976
142d55340
151e49b03
hex1539e4c

22257228 has 48 divisors (see below), whose sum is σ = 59641344. Its totient is φ = 6328320.

The previous prime is 22257217. The next prime is 22257251. The reversal of 22257228 is 82275222.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22257195 and 22257204.

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 15 ways as a sum of consecutive naturals, for example, 21073 + ... + 22103.

It is an arithmetic number, because the mean of its divisors is an integer number (1242528).

Almost surely, 222257228 is an apocalyptic number.

22257228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22257228 is an abundant number, since it is smaller than the sum of its proper divisors (37384116).

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

22257228 is a wasteful number, since it uses less digits than its factorization.

22257228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 22257228 is about 4717.7566702830. The cubic root of 22257228 is about 281.2917694013.

It can be divided in two parts, 2225 and 7228, that added together give a triangular number (9453 = T137).

The spelling of 22257228 in words is "twenty-two million, two hundred fifty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 257 514 771 1028 1031 1542 1799 2062 3084 3093 3598 4124 5397 6186 7196 7217 10794 12372 14434 21588 21651 28868 43302 86604 264967 529934 794901 1059868 1589802 1854769 3179604 3709538 5564307 7419076 11128614 22257228