Search a number
-
+
10472220 = 22335114143
BaseRepresentation
bin100111111100…
…101100011100
3201201001012000
4213330230130
510140102340
61012242300
7155004153
oct47745434
921631160
1010472220
115a02a30
123610390
1322287a5
14156859a
15dbcd30
hex9fcb1c

10472220 has 192 divisors, whose sum is σ = 37255680. Its totient is φ = 2419200.

The previous prime is 10472213. The next prime is 10472227. The reversal of 10472220 is 2227401.

It is an interprime number because it is at equal distance from previous prime (10472213) and next prime (10472227).

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

It is a junction number, because it is equal to n+sod(n) for n = 10472193 and 10472202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10472227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243519 + ... + 243561.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 210472220 is an apocalyptic number.

10472220 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 10472220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

10472220 is an abundant number, since it is smaller than the sum of its proper divisors (26783460).

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

10472220 is a wasteful number, since it uses less digits than its factorization.

10472220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10472220 is about 3236.0809631404. The cubic root of 10472220 is about 218.7826704945.

Adding to 10472220 its reverse (2227401), we get a palindrome (12699621).

The spelling of 10472220 in words is "ten million, four hundred seventy-two thousand, two hundred twenty".