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221002120 = 2355525053
BaseRepresentation
bin11010010110000…
…11100110001000
3120101212001220201
431023003212020
5423034031440
633532501544
75322326023
oct1513034610
9511761821
10221002120
11103828189
126201a8b4
1336a2b8b1
14214cc1ba
151460719a
hexd2c3988

221002120 has 16 divisors (see below), whose sum is σ = 497254860. Its totient is φ = 88400832.

The previous prime is 221002097. The next prime is 221002121. The reversal of 221002120 is 21200122.

221002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 205807716 + 15194404 = 14346^2 + 3898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 221002097 and 221002106.

It is not an unprimeable number, because it can be changed into a prime (221002121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2762487 + ... + 2762566.

Almost surely, 2221002120 is an apocalyptic number.

221002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002120 is an abundant number, since it is smaller than the sum of its proper divisors (276252740).

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

221002120 is a wasteful number, since it uses less digits than its factorization.

221002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525064 (or 5525060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221002120 is about 14866.1400504637. The cubic root of 221002120 is about 604.5962928380.

Adding to 221002120 its reverse (21200122), we get a palindrome (242202242).

It can be divided in two parts, 221002 and 120, that added together give a palindrome (221122).

The spelling of 221002120 in words is "two hundred twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5525053 11050106 22100212 27625265 44200424 55250530 110501060 221002120