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20264220 = 223251031093
BaseRepresentation
bin100110101001…
…1010100011100
31102010112021200
41031103110130
520141423340
62002155500
7334146234
oct115232434
942115250
1020264220
1110490899
126952b90
134276782
142996cc4
151ba4330
hex135351c

20264220 has 72 divisors (see below), whose sum is σ = 62121696. Its totient is φ = 5346432.

The previous prime is 20264207. The next prime is 20264227. The reversal of 20264220 is 2246202.

It is a happy number.

20264220 is a `hidden beast` number, since 2 + 0 + 2 + 642 + 20 = 666.

It is a super-2 number, since 2×202642202 = 821277224416800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20264193 and 20264202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17994 + ... + 19086.

Almost surely, 220264220 is an apocalyptic number.

20264220 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 20264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31060848).

20264220 is an abundant number, since it is smaller than the sum of its proper divisors (41857476).

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

20264220 is a wasteful number, since it uses less digits than its factorization.

20264220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20264220 is about 4501.5797227196. The cubic root of 20264220 is about 272.6318751195.

The spelling of 20264220 in words is "twenty million, two hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1093 1236 1545 1854 2060 2186 3090 3279 3708 4372 4635 5465 6180 6558 9270 9837 10930 13116 16395 18540 19674 21860 32790 39348 49185 65580 98370 112579 196740 225158 337737 450316 562895 675474 1013211 1125790 1350948 1688685 2026422 2251580 3377370 4052844 5066055 6754740 10132110 20264220