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221020120 = 2357397477
BaseRepresentation
bin11010010110001…
…11111111011000
3120101212222121101
431023013333120
5423040120440
633533121144
75322432346
oct1513077730
9511788541
10221020120
1110383a762
12620291b4
1336a36b49
14214d4996
151460c69a
hexd2c7fd8

221020120 has 32 divisors (see below), whose sum is σ = 498034800. Its totient is φ = 88276608.

The previous prime is 221020099. The next prime is 221020127. The reversal of 221020120 is 21020122.

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 = 221020097 and 221020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25822 + ... + 33298.

Almost surely, 2221020120 is an apocalyptic number.

221020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020120 is an abundant number, since it is smaller than the sum of its proper divisors (277014680).

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

221020120 is a wasteful number, since it uses less digits than its factorization.

221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8223 counting only the distinct ones).

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

The square root of 221020120 is about 14866.7454407480. The cubic root of 221020120 is about 604.6127066139.

Adding to 221020120 its reverse (21020122), we get a palindrome (242040242).

The spelling of 221020120 in words is "two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 739 1478 2956 3695 5912 7390 7477 14780 14954 29560 29908 37385 59816 74770 149540 299080 5525503 11051006 22102012 27627515 44204024 55255030 110510060 221020120