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22414140 = 22325717789
BaseRepresentation
bin101010110000…
…0001100111100
31120011202102100
41111200030330
521214223030
62120225100
7361342230
oct125401474
946152370
1022414140
111171a091
12760b190
13484a208
142d965c0
151e7b360
hex156033c

22414140 has 72 divisors (see below), whose sum is σ = 77706720. Its totient is φ = 5122944.

The previous prime is 22414127. The next prime is 22414153. The reversal of 22414140 is 4141422.

It is an interprime number because it is at equal distance from previous prime (22414127) and next prime (22414153).

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

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 23 ways as a sum of consecutive naturals, for example, 7635 + ... + 10154.

It is an arithmetic number, because the mean of its divisors is an integer number (1079260).

Almost surely, 222414140 is an apocalyptic number.

22414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414140 is an abundant number, since it is smaller than the sum of its proper divisors (55292580).

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

22414140 is a wasteful number, since it uses less digits than its factorization.

22414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17811 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22414140 is about 4734.3574009574. The cubic root of 22414140 is about 281.9512515705.

Adding to 22414140 its reverse (4141422), we get a palindrome (26555562).

It can be divided in two parts, 2 and 2414140, that added together give a palindrome (2414142).

The spelling of 22414140 in words is "twenty-two million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 17789 35578 53367 71156 88945 106734 124523 160101 177890 213468 249046 266835 320202 355780 373569 498092 533670 622615 640404 747138 800505 1067340 1120707 1245230 1494276 1601010 1867845 2241414 2490460 3202020 3735690 4482828 5603535 7471380 11207070 22414140