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22252440 = 2335759449
BaseRepresentation
bin101010011100…
…0101110011000
31112212112121110
41110320232120
521144034230
62112540320
7360066630
oct124705630
945775543
1022252440
1111619651
1275516a0
1347c1732
142d536c0
151e484b0
hex1538b98

22252440 has 128 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 4988928.

The previous prime is 22252427. The next prime is 22252481. The reversal of 22252440 is 4425222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49336 + ... + 49784.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 222252440 is an apocalyptic number.

22252440 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 22252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

22252440 is an abundant number, since it is smaller than the sum of its proper divisors (55507560).

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

22252440 is a wasteful number, since it uses less digits than its factorization.

22252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22252440 is about 4717.2491984206. The cubic root of 22252440 is about 281.2715973538.

Adding to 22252440 its reverse (4425222), we get a palindrome (26677662).

The spelling of 22252440 in words is "twenty-two million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 449 472 590 708 826 840 885 898 1180 1239 1347 1416 1652 1770 1796 2065 2245 2360 2478 2694 3143 3304 3540 3592 4130 4490 4956 5388 6195 6286 6735 7080 8260 8980 9429 9912 10776 12390 12572 13470 15715 16520 17960 18858 24780 25144 26491 26940 31430 37716 47145 49560 52982 53880 62860 75432 79473 94290 105964 125720 132455 158946 185437 188580 211928 264910 317892 370874 377160 397365 529820 556311 635784 741748 794730 927185 1059640 1112622 1483496 1589460 1854370 2225244 2781555 3178920 3708740 4450488 5563110 7417480 11126220 22252440