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202213820 = 22519352387
BaseRepresentation
bin11000000110110…
…00100110111100
3112002111112012202
430003120212330
5403231320240
632022051032
75003534444
oct1403304674
9462445182
10202213820
11a4165266
1257879a78
1332b80b63
141cbdb124
1512b45315
hexc0d89bc

202213820 has 24 divisors (see below), whose sum is σ = 426857424. Its totient is φ = 80464896.

The previous prime is 202213819. The next prime is 202213829. The reversal of 202213820 is 28312202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202213792 and 202213801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202213829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22334 + ... + 30053.

It is an arithmetic number, because the mean of its divisors is an integer number (17785726).

Almost surely, 2202213820 is an apocalyptic number.

202213820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202213820 is an abundant number, since it is smaller than the sum of its proper divisors (224643604).

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

202213820 is a wasteful number, since it uses less digits than its factorization.

202213820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52589 (or 52587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 202213820 is about 14220.1905753756. The cubic root of 202213820 is about 586.9533844440.

The spelling of 202213820 in words is "two hundred two million, two hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 52387 104774 209548 261935 523870 1047740 10110691 20221382 40442764 50553455 101106910 202213820