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221362420 = 22590712203
BaseRepresentation
bin11010011000110…
…11100011110100
3120102112101011011
431030123203310
5423132044140
633544322004
75325356326
oct1514334364
9512471134
10221362420
11103a53954
1262173304
1336b268a6
1421583616
1514678cea
hexd31b8f4

221362420 has 24 divisors (see below), whose sum is σ = 465411744. Its totient is φ = 88440096.

The previous prime is 221362363. The next prime is 221362469. The reversal of 221362420 is 24263122.

It is a junction number, because it is equal to n+sod(n) for n = 221362391 and 221362400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12039 + ... + 24241.

It is an arithmetic number, because the mean of its divisors is an integer number (19392156).

Almost surely, 2221362420 is an apocalyptic number.

221362420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221362420 is an abundant number, since it is smaller than the sum of its proper divisors (244049324).

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

221362420 is a wasteful number, since it uses less digits than its factorization.

221362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 221362420 is about 14878.2532576912. The cubic root of 221362420 is about 604.9246724510.

The spelling of 221362420 in words is "two hundred twenty-one million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 907 1814 3628 4535 9070 12203 18140 24406 48812 61015 122030 244060 11068121 22136242 44272484 55340605 110681210 221362420