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221657140 = 22511082857
BaseRepresentation
bin11010011011000…
…11100000110100
3120110002100102201
431031203200310
5423221012030
633554514244
75331024505
oct1515434064
9513070381
10221657140
11104135321
1262295984
1336bcaa93
142161cbac
15146d62ca
hexd363834

221657140 has 12 divisors (see below), whose sum is σ = 465480036. Its totient is φ = 88662848.

The previous prime is 221657119. The next prime is 221657147. The reversal of 221657140 is 41756122.

It can be written as a sum of positive squares in 2 ways, for example, as 37675044 + 183982096 = 6138^2 + 13564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221657099 and 221657108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221657147) 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 3 ways as a sum of consecutive naturals, for example, 5541409 + ... + 5541448.

It is an arithmetic number, because the mean of its divisors is an integer number (38790003).

Almost surely, 2221657140 is an apocalyptic number.

221657140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221657140 is an abundant number, since it is smaller than the sum of its proper divisors (243822896).

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

221657140 is a wasteful number, since it uses less digits than its factorization.

221657140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082866 (or 11082864 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 221657140 is about 14888.1543516985. The cubic root of 221657140 is about 605.1930172109.

The spelling of 221657140 in words is "two hundred twenty-one million, six hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 11082857 22165714 44331428 55414285 110828570 221657140