Search a number
-
+
220760370 = 23355315427
BaseRepresentation
bin11010010100010…
…00100100110010
3120101101210022000
431022020210302
5423003312440
633523354430
75320301145
oct1512104462
9511353260
10220760370
11103682596
1261b22a16
133697584c
142146805c
15145aa730
hexd288932

220760370 has 64 divisors (see below), whose sum is σ = 599840640. Its totient is φ = 57754944.

The previous prime is 220760341. The next prime is 220760381. The reversal of 220760370 is 73067022.

220760370 is a `hidden beast` number, since 220 + 76 + 0 + 370 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6597 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (9372510).

Almost surely, 2220760370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220760370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299920320).

220760370 is an abundant number, since it is smaller than the sum of its proper divisors (379080270).

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

220760370 is a wasteful number, since it uses less digits than its factorization.

220760370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 220760370 is about 14858.0069322908. The cubic root of 220760370 is about 604.3757602921.

The spelling of 220760370 in words is "two hundred twenty million, seven hundred sixty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 15427 30854 46281 77135 92562 138843 154270 231405 277686 416529 462810 694215 817631 833058 1388430 1635262 2082645 2452893 4088155 4165290 4905786 7358679 8176310 12264465 14717358 22076037 24528930 36793395 44152074 73586790 110380185 220760370