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202030020 = 223251122389
BaseRepresentation
bin11000000101010…
…11101111000100
3112002011012002100
430002223233010
5403204430040
632014112100
75002140543
oct1402535704
9462135070
10202030020
11a404a165
12577ab630
1332b182ba
141cb9015a
1512b0ab30
hexc0abbc4

202030020 has 36 divisors (see below), whose sum is σ = 612824940. Its totient is φ = 53874624.

The previous prime is 202030009. The next prime is 202030033. The reversal of 202030020 is 20030202.

It can be written as a sum of positive squares in 2 ways, for example, as 152917956 + 49112064 = 12366^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2020300202 = 81632257962400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202029984 and 202030011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561015 + ... + 561374.

It is an arithmetic number, because the mean of its divisors is an integer number (17022915).

Almost surely, 2202030020 is an apocalyptic number.

202030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202030020 is an abundant number, since it is smaller than the sum of its proper divisors (410794920).

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

202030020 is a wasteful number, since it uses less digits than its factorization.

202030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122404 (or 1122399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 202030020 is about 14213.7264642317. The cubic root of 202030020 is about 586.7754956221.

Adding to 202030020 its reverse (20030202), we get a palindrome (222060222).

The spelling of 202030020 in words is "two hundred two million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1122389 2244778 3367167 4489556 5611945 6734334 10101501 11223890 13468668 16835835 20203002 22447780 33671670 40406004 50507505 67343340 101015010 202030020