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22266420 = 22351123067
BaseRepresentation
bin101010011110…
…0001000110100
31112220020210020
41110330020310
521200011140
62113125140
7360155451
oct124741064
945806706
1022266420
1111629100
1275597b0
1347c7bc7
142d58828
151e4c6d0
hex153c234

22266420 has 72 divisors (see below), whose sum is σ = 68551392. Its totient is φ = 5396160.

The previous prime is 22266407. The next prime is 22266421. The reversal of 22266420 is 2466222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22266421) by changing a digit.

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, 5727 + ... + 8793.

Almost surely, 222266420 is an apocalyptic number.

22266420 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 22266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34275696).

22266420 is an abundant number, since it is smaller than the sum of its proper divisors (46284972).

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

22266420 is a wasteful number, since it uses less digits than its factorization.

22266420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22266420 is about 4718.7307615502. The cubic root of 22266420 is about 281.3304875813.

It can be divided in two parts, 2226 and 6420, that added together give a triangular number (8646 = T131).

The spelling of 22266420 in words is "twenty-two million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3067 3630 6134 7260 9201 12268 15335 18402 30670 33737 36804 46005 61340 67474 92010 101211 134948 168685 184020 202422 337370 371107 404844 506055 674740 742214 1012110 1113321 1484428 1855535 2024220 2226642 3711070 4453284 5566605 7422140 11133210 22266420