Search a number
-
+
15226220 = 22517192357
BaseRepresentation
bin111010000101…
…010101101100
31001122120110002
4322011111230
512344214340
61302203432
7243264212
oct72052554
931576402
1015226220
11865a759
125123578
1332015c9
142044cb2
15150b715
hexe8556c

15226220 has 48 divisors (see below), whose sum is σ = 35652960. Its totient is φ = 5428224.

The previous prime is 15226213. The next prime is 15226229. The reversal of 15226220 is 2262251.

15226220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 15226192 and 15226201.

It is not an unprimeable number, because it can be changed into a prime (15226229) 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, 5282 + ... + 7638.

It is an arithmetic number, because the mean of its divisors is an integer number (742770).

Almost surely, 215226220 is an apocalyptic number.

15226220 is a gapful number since it is divisible by the number (10) 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 15226220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826480).

15226220 is an abundant number, since it is smaller than the sum of its proper divisors (20426740).

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

15226220 is a wasteful number, since it uses less digits than its factorization.

15226220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 15226220 is about 3902.0789330817. The cubic root of 15226220 is about 247.8548187724.

Adding to 15226220 its reverse (2262251), we get a palindrome (17488471).

The spelling of 15226220 in words is "fifteen million, two hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2357 3230 4714 6460 9428 11785 23570 40069 44783 47140 80138 89566 160276 179132 200345 223915 400690 447830 761311 801380 895660 1522622 3045244 3806555 7613110 15226220