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22213440 = 26345857
BaseRepresentation
bin101010010111…
…1001101000000
31112210120010000
41110233031000
521141312230
62112040000
7356545134
oct124571500
945716100
1022213440
11115a2317
127533000
1347a9a62
142d433c4
151e3bb60
hex152f340

22213440 has 140 divisors (see below), whose sum is σ = 79109316. Its totient is φ = 5916672.

The previous prime is 22213439. The next prime is 22213463. The reversal of 22213440 is 4431222.

22213440 is a `hidden beast` number, since 2 + 221 + 3 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 7096896 = 3888^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 25492 + ... + 26348.

Almost surely, 222213440 is an apocalyptic number.

22213440 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 22213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39554658).

22213440 is an abundant number, since it is smaller than the sum of its proper divisors (56895876).

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

22213440 is an equidigital number, since it uses as much as digits as its factorization.

22213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22213440 is about 4713.1136205273. The cubic root of 22213440 is about 281.1071808218.

Adding to 22213440 its reverse (4431222), we get a palindrome (26644662).

The spelling of 22213440 in words is "twenty-two million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 857 864 960 1080 1296 1440 1620 1714 1728 2160 2571 2592 2880 3240 3428 4285 4320 5142 5184 6480 6856 7713 8570 8640 10284 12855 12960 13712 15426 17140 20568 23139 25710 25920 27424 30852 34280 38565 41136 46278 51420 54848 61704 68560 69417 77130 82272 92556 102840 115695 123408 137120 138834 154260 164544 185112 205680 231390 246816 274240 277668 308520 347085 370224 411360 462780 493632 555336 617040 694170 740448 822720 925560 1110672 1234080 1388340 1480896 1851120 2221344 2468160 2776680 3702240 4442688 5553360 7404480 11106720 22213440