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22214640 = 2435721889
BaseRepresentation
bin101010010111…
…1011111110000
31112210121202110
41110233133300
521141332030
62112045320
7356551500
oct124573760
945717673
1022214640
11115a3208
127533840
1347aa476
142d43a00
151e3c1b0
hex152f7f0

22214640 has 120 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 5074944.

The previous prime is 22214627. The next prime is 22214641. The reversal of 22214640 is 4641222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10816 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 222214640 is an apocalyptic number.

22214640 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 22214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

22214640 is an abundant number, since it is smaller than the sum of its proper divisors (57936480).

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

22214640 is a wasteful number, since it uses less digits than its factorization.

22214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22214640 is about 4713.2409231865. The cubic root of 22214640 is about 281.1122426604.

Adding to 22214640 its reverse (4641222), we get a palindrome (26855862).

The spelling of 22214640 in words is "twenty-two million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1889 1960 2352 2940 3778 3920 5667 5880 7556 9445 11334 11760 13223 15112 18890 22668 26446 28335 30224 37780 39669 45336 52892 56670 66115 75560 79338 90672 92561 105784 113340 132230 151120 158676 185122 198345 211568 226680 264460 277683 317352 370244 396690 453360 462805 528920 555366 634704 740488 793380 925610 1057840 1110732 1388415 1480976 1586760 1851220 2221464 2776830 3173520 3702440 4442928 5553660 7404880 11107320 22214640