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202320020 = 22572431479
BaseRepresentation
bin11000000111100…
…10100010010100
3112002200220220002
430003302202110
5403243220040
632024230432
75004456200
oct1403624224
9462626802
10202320020
11a4228031
125790b418
1332bba2b6
141cc27b00
1512b66a15
hexc0f2894

202320020 has 72 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 69061440.

The previous prime is 202319989. The next prime is 202320073. The reversal of 202320020 is 20023202.

It is a junction number, because it is equal to n+sod(n) for n = 202319983 and 202320010.

It is a congruent number.

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, 422141 + ... + 422619.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2202320020 is an apocalyptic number.

202320020 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 202320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

202320020 is an abundant number, since it is smaller than the sum of its proper divisors (294099820).

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

202320020 is a wasteful number, since it uses less digits than its factorization.

202320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 202320020 is about 14223.9242123965. The cubic root of 202320020 is about 587.0561198228.

Adding to 202320020 its reverse (20023202), we get a palindrome (222343222).

The spelling of 202320020 in words is "two hundred two million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 431 479 490 862 958 980 1724 1916 2155 2395 3017 3353 4310 4790 6034 6706 8620 9580 12068 13412 15085 16765 21119 23471 30170 33530 42238 46942 60340 67060 84476 93884 105595 117355 206449 211190 234710 412898 422380 469420 825796 1032245 1445143 2064490 2890286 4128980 5780572 7225715 10116001 14451430 20232002 28902860 40464004 50580005 101160010 202320020