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202244020 = 225118231117
BaseRepresentation
bin11000000110111…
…11111110110100
3112002120001122021
430003133332310
5403233302040
632022442524
75004021466
oct1403377664
9462501567
10202244020
11a4185a20
1257893444
1332b91824
141cc08136
1512b4e24a
hexc0dffb4

202244020 has 48 divisors (see below), whose sum is σ = 464300928. Its totient is φ = 73388160.

The previous prime is 202243973. The next prime is 202244023. The reversal of 202244020 is 20442202.

202244020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202243985 and 202244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202244023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180502 + ... + 181618.

It is an arithmetic number, because the mean of its divisors is an integer number (9672936).

Almost surely, 2202244020 is an apocalyptic number.

202244020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202244020 is an abundant number, since it is smaller than the sum of its proper divisors (262056908).

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

202244020 is a wasteful number, since it uses less digits than its factorization.

202244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 202244020 is about 14221.2524061701. The cubic root of 202244020 is about 586.9826028720.

Adding to 202244020 its reverse (20442202), we get a palindrome (222686222).

The spelling of 202244020 in words is "two hundred two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 823 1117 1646 2234 3292 4115 4468 5585 8230 9053 11170 12287 16460 18106 22340 24574 36212 45265 49148 61435 90530 122870 181060 245740 919291 1838582 3677164 4596455 9192910 10112201 18385820 20224402 40448804 50561005 101122010 202244020