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22274460 = 223351319167
BaseRepresentation
bin101010011111…
…0000110011100
31112220122211000
41110332012130
521200240320
62113230300
7360221055
oct124760634
945818730
1022274460
111163414a
127562390
1347cb770
142d5b72c
151e4ec90
hex153e19c

22274460 has 192 divisors, whose sum is σ = 79027200. Its totient is φ = 5163264.

The previous prime is 22274453. The next prime is 22274489. The reversal of 22274460 is 6447222.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 133297 + ... + 133463.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 222274460 is an apocalyptic number.

22274460 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 22274460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

22274460 is an abundant number, since it is smaller than the sum of its proper divisors (56752740).

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

22274460 is a wasteful number, since it uses less digits than its factorization.

22274460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

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

The square root of 22274460 is about 4719.5826086636. The cubic root of 22274460 is about 281.3643446170.

The spelling of 22274460 in words is "twenty-two million, two hundred seventy-four thousand, four hundred sixty".