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22468420 = 22513103839
BaseRepresentation
bin101010110110…
…1011101000100
31120021111212201
41111231131010
521222442140
62121324244
7361656412
oct125553504
946244781
1022468420
1111756947
127636684
134868b30
142dac2b2
151e8c49a
hex156d744

22468420 has 48 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 8205696.

The previous prime is 22468379. The next prime is 22468421. The reversal of 22468420 is 2486422.

It is not an unprimeable number, because it can be changed into a prime (22468421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26361 + ... + 27199.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 222468420 is an apocalyptic number.

22468420 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 22468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

22468420 is an abundant number, since it is smaller than the sum of its proper divisors (28899260).

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

22468420 is a wasteful number, since it uses less digits than its factorization.

22468420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 22468420 is about 4740.0864971011. The cubic root of 22468420 is about 282.1786671877.

It can be divided in two parts, 224 and 68420, that added together give a square (68644 = 2622).

The spelling of 22468420 in words is "twenty-two million, four hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 839 1030 1339 1678 2060 2678 3356 4195 5356 6695 8390 10907 13390 16780 21814 26780 43628 54535 86417 109070 172834 218140 345668 432085 864170 1123421 1728340 2246842 4493684 5617105 11234210 22468420