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221490 = 232523107
BaseRepresentation
bin110110000100110010
3102020211100
4312010302
524041430
64425230
71611513
oct660462
9366740
10221490
11141455
12a8216
1379a79
145aa0a
1545960
hex36132

221490 has 48 divisors (see below), whose sum is σ = 606528. Its totient is φ = 55968.

The previous prime is 221489. The next prime is 221497. The reversal of 221490 is 94122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2221490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264).

221490 is an abundant number, since it is smaller than the sum of its proper divisors (385038).

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

221490 is a wasteful number, since it uses less digits than its factorization.

221490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 221490 is about 470.6272410305. The cubic root of 221490 is about 60.5040864212.

It can be divided in two parts, 2214 and 90, that added together give a square (2304 = 482).

The spelling of 221490 in words is "two hundred twenty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 107 115 138 207 214 230 321 345 414 535 642 690 963 1035 1070 1605 1926 2070 2461 3210 4815 4922 7383 9630 12305 14766 22149 24610 36915 44298 73830 110745 221490