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202200420 = 22356914877
BaseRepresentation
bin11000000110101…
…01010101100100
3112002110211211110
430003111111210
5403230403140
632021505020
75003450412
oct1403252544
9462424743
10202200420
11a4156194
1257872170
1332b77a26
141cbd62b2
1512b41380
hexc0d5564

202200420 has 48 divisors (see below), whose sum is σ = 567096768. Its totient is φ = 53831040.

The previous prime is 202200407. The next prime is 202200443. The reversal of 202200420 is 24002202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202200396 and 202200405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39022 + ... + 43898.

It is an arithmetic number, because the mean of its divisors is an integer number (11814516).

Almost surely, 2202200420 is an apocalyptic number.

202200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200420 is an abundant number, since it is smaller than the sum of its proper divisors (364896348).

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

202200420 is a wasteful number, since it uses less digits than its factorization.

202200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 202200420 is about 14219.7194065143. The cubic root of 202200420 is about 586.9404190441.

Adding to 202200420 its reverse (24002202), we get a palindrome (226202622).

The spelling of 202200420 in words is "two hundred two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 691 1382 2073 2764 3455 4146 4877 6910 8292 9754 10365 13820 14631 19508 20730 24385 29262 41460 48770 58524 73155 97540 146310 292620 3370007 6740014 10110021 13480028 16850035 20220042 33700070 40440084 50550105 67400140 101100210 202200420