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22085440 = 265135309
BaseRepresentation
bin101010000111…
…1111101000000
31112120001112021
41110033331000
521123213230
62105211224
7355503016
oct124177500
945501467
1022085440
1111515133
127490b14
134763710
142d0c8b6
151e13c7a
hex150ff40

22085440 has 56 divisors (see below), whose sum is σ = 56647080. Its totient is φ = 8153088.

The previous prime is 22085419. The next prime is 22085489. The reversal of 22085440 is 4458022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 20866624 = 1104^2 + 4568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1506 + ... + 6814.

It is an arithmetic number, because the mean of its divisors is an integer number (1011555).

Almost surely, 222085440 is an apocalyptic number.

22085440 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 22085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28323540).

22085440 is an abundant number, since it is smaller than the sum of its proper divisors (34561640).

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

22085440 is a wasteful number, since it uses less digits than its factorization.

22085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 22085440 is about 4699.5148685795. The cubic root of 22085440 is about 280.5662012248.

The spelling of 22085440 in words is "twenty-two million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 5309 10618 21236 26545 42472 53090 69017 84944 106180 138034 169888 212360 276068 339776 345085 424720 552136 690170 849440 1104272 1380340 1698880 2208544 2760680 4417088 5521360 11042720 22085440