Search a number
-
+
11225210472 = 2333725320011
BaseRepresentation
bin10100111010001001…
…10001111001101000
31001222022012202221000
422131010301321220
5140442123213342
65053511115000
7545112500100
oct123504617150
931868182830
1011225210472
11484037a853
122213372a60
13109b79a898
14786b76200
1545a72844c
hex29d131e68

11225210472 has 192 divisors, whose sum is σ = 36958161600. Its totient is φ = 3146532480.

The previous prime is 11225210471. The next prime is 11225210473. The reversal of 11225210472 is 27401252211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11225210471) and next prime (11225210473).

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

It is not an unprimeable number, because it can be changed into a prime (11225210471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550947 + ... + 570957.

It is an arithmetic number, because the mean of its divisors is an integer number (192490425).

Almost surely, 211225210472 is an apocalyptic number.

11225210472 is a gapful number since it is divisible by the number (12) 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 11225210472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479080800).

11225210472 is an abundant number, since it is smaller than the sum of its proper divisors (25732951128).

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

11225210472 is a wasteful number, since it uses less digits than its factorization.

11225210472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20093 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 11225210472 its reverse (27401252211), we get a palindrome (38626462683).

The spelling of 11225210472 in words is "eleven billion, two hundred twenty-five million, two hundred ten thousand, four hundred seventy-two".