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221530340 = 225311033469
BaseRepresentation
bin11010011010001…
…00100011100100
3120102211220111102
431031010203210
5423202432330
633552055232
75326656023
oct1515044344
9512756442
10221530340
11104059029
1262234518
1336b85155
14215c88ba
15146ad945
hexd3448e4

221530340 has 48 divisors (see below), whose sum is σ = 485022720. Its totient is φ = 84896640.

The previous prime is 221530321. The next prime is 221530357. The reversal of 221530340 is 43035122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62126 + ... + 65594.

It is an arithmetic number, because the mean of its divisors is an integer number (10104640).

Almost surely, 2221530340 is an apocalyptic number.

221530340 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 221530340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242511360).

221530340 is an abundant number, since it is smaller than the sum of its proper divisors (263492380).

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

221530340 is a wasteful number, since it uses less digits than its factorization.

221530340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 221530340 is about 14883.8953234696. The cubic root of 221530340 is about 605.0775940366.

Adding to 221530340 its reverse (43035122), we get a palindrome (264565462).

The spelling of 221530340 in words is "two hundred twenty-one million, five hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 206 310 412 515 620 1030 2060 3193 3469 6386 6938 12772 13876 15965 17345 31930 34690 63860 69380 107539 215078 357307 430156 537695 714614 1075390 1429228 1786535 2150780 3573070 7146140 11076517 22153034 44306068 55382585 110765170 221530340