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88221 = 374201
BaseRepresentation
bin10101100010011101
311111000110
4111202131
510310341
61520233
7515130
oct254235
9144013
1088221
1160311
1243079
1331203
1424217
151b216
hex1589d

88221 has 8 divisors (see below), whose sum is σ = 134464. Its totient is φ = 50400.

The previous prime is 88211. The next prime is 88223. The reversal of 88221 is 12288.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 88221 - 27 = 88093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4201 = 88221 / (8 + 8 + 2 + 2 + 1).

It is a Duffinian number.

88221 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (16808).

288221 is an apocalyptic number.

It is an amenable number.

88221 is a deficient number, since it is larger than the sum of its proper divisors (46243).

88221 is a wasteful number, since it uses less digits than its factorization.

88221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211.

The product of its digits is 256, while the sum is 21.

The square root of 88221 is about 297.0202013332. The cubic root of 88221 is about 44.5168055029.

It can be divided in two parts, 882 and 21, that added together give a triangular number (903 = T42).

The spelling of 88221 in words is "eighty-eight thousand, two hundred twenty-one".

Divisors: 1 3 7 21 4201 12603 29407 88221