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221140220 = 22578319031
BaseRepresentation
bin11010010111001…
…01010011111100
3120102010002100112
431023211103330
5423102441340
633535445152
75323442450
oct1513452374
9512102315
10221140220
11103911a14
12620867b8
1336a79702
1421526660
1514633065
hexd2e54fc

221140220 has 48 divisors (see below), whose sum is σ = 537159168. Its totient is φ = 74902080.

The previous prime is 221140187. The next prime is 221140223. The reversal of 221140220 is 22041122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221140195 and 221140204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221140223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (11190816).

Almost surely, 2221140220 is an apocalyptic number.

221140220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268579584).

221140220 is an abundant number, since it is smaller than the sum of its proper divisors (316018948).

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

221140220 is a wasteful number, since it uses less digits than its factorization.

221140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130 (or 19128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221140220 is about 14870.7841084457. The cubic root of 221140220 is about 604.7222001711.

Adding to 221140220 its reverse (22041122), we get a palindrome (243181342).

The spelling of 221140220 in words is "two hundred twenty-one million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 19031 38062 76124 95155 133217 190310 266434 380620 532868 666085 1332170 1579573 2664340 3159146 6318292 7897865 11057011 15795730 22114022 31591460 44228044 55285055 110570110 221140220