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220201140 = 223514924631
BaseRepresentation
bin11010010000000…
…00000010110100
3120100100101011210
431020000002310
5422332414030
633503401420
75312451555
oct1510000264
9510311153
10220201140
11103330415
12618b3270
133680b143
142136032c
15144e9bb0
hexd2000b4

220201140 has 48 divisors (see below), whose sum is σ = 620726400. Its totient is φ = 58323840.

The previous prime is 220201139. The next prime is 220201141. The reversal of 220201140 is 41102022.

It is an interprime number because it is at equal distance from previous prime (220201139) and next prime (220201141).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201141) 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, 3376 + ... + 21255.

It is an arithmetic number, because the mean of its divisors is an integer number (12931800).

Almost surely, 2220201140 is an apocalyptic number.

220201140 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 220201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310363200).

220201140 is an abundant number, since it is smaller than the sum of its proper divisors (400525260).

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

220201140 is a wasteful number, since it uses less digits than its factorization.

220201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24792 (or 24790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220201140 is about 14839.1758531261. The cubic root of 220201140 is about 603.8649940206.

Adding to 220201140 its reverse (41102022), we get a palindrome (261303162).

The spelling of 220201140 in words is "two hundred twenty million, two hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 24631 49262 73893 98524 123155 147786 246310 295572 369465 492620 738930 1477860 3670019 7340038 11010057 14680076 18350095 22020114 36700190 44040228 55050285 73400380 110100570 220201140