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20226840 = 2335732309
BaseRepresentation
bin100110100101…
…0001100011000
31102001122000020
41031022030120
520134224330
62001310440
7333632244
oct115121430
942048006
1020226840
11104657a7
126935420
13426275a
142987424
151b98210
hex134a318

20226840 has 64 divisors (see below), whose sum is σ = 61538400. Its totient is φ = 5317632.

The previous prime is 20226839. The next prime is 20226847. The reversal of 20226840 is 4862202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20226840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20226847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7606 + ... + 9914.

Almost surely, 220226840 is an apocalyptic number.

20226840 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 20226840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30769200).

20226840 is an abundant number, since it is smaller than the sum of its proper divisors (41311560).

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

20226840 is a wasteful number, since it uses less digits than its factorization.

20226840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20226840 is about 4497.4259304629. The cubic root of 20226840 is about 272.4641369070.

The spelling of 20226840 in words is "twenty million, two hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2309 2920 4380 4618 6927 8760 9236 11545 13854 18472 23090 27708 34635 46180 55416 69270 92360 138540 168557 277080 337114 505671 674228 842785 1011342 1348456 1685570 2022684 2528355 3371140 4045368 5056710 6742280 10113420 20226840