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202300420 = 22572316659
BaseRepresentation
bin11000000111011…
…01110000000100
3112002122221000011
430003231300010
5403242103140
632024000004
75004345100
oct1403556004
9462587004
10202300420
11a4214333
1257900004
1332bb13ba
141cc20900
1512b60cea
hexc0edc04

202300420 has 72 divisors (see below), whose sum is σ = 510209280. Its totient is φ = 67112640.

The previous prime is 202300379. The next prime is 202300457. The reversal of 202300420 is 24003202.

202300420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202300420.

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, 27051 + ... + 33709.

It is an arithmetic number, because the mean of its divisors is an integer number (7086240).

Almost surely, 2202300420 is an apocalyptic number.

202300420 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 202300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

202300420 is an abundant number, since it is smaller than the sum of its proper divisors (307908860).

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

202300420 is a wasteful number, since it uses less digits than its factorization.

202300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 202300420 is about 14223.2352156603. The cubic root of 202300420 is about 587.0371619501.

Adding to 202300420 its reverse (24003202), we get a palindrome (226303622).

The spelling of 202300420 in words is "two hundred two million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 6659 7595 13318 15190 26636 30380 33295 46613 66590 93226 133180 186452 206429 233065 326291 412858 466130 652582 825716 932260 1032145 1305164 1445003 1631455 2064290 2890006 3262910 4128580 5780012 6525820 7225015 10115021 14450030 20230042 28900060 40460084 50575105 101150210 202300420