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226152000024 = 2339423000001
BaseRepresentation
bin1101001010011110110…
…1011010101000011000
3210121201220212221020220
43102213231122220120
512201124403000044
6251520502120040
722224154166016
oct3224755325030
9717656787226
10226152000024
1187a019a9965
12379b5a20020
1318431411bc2
14ad354618b6
155d39350019
hex34a7b5aa18

226152000024 has 16 divisors (see below), whose sum is σ = 565380000120. Its totient is φ = 75384000000.

The previous prime is 226151999993. The next prime is 226152000071. The reversal of 226152000024 is 420000251622.

It is a happy number.

226152000024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261520000242 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9423000001 = 226152000024 / (2 + 2 + 6 + 1 + 5 + 2 + 0 + 0 + 0 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 226151999958 and 226152000003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4711499977 + ... + 4711500024.

Almost surely, 2226152000024 is an apocalyptic number.

226152000024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226152000024 is an abundant number, since it is smaller than the sum of its proper divisors (339228000096).

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

226152000024 is a wasteful number, since it uses less digits than its factorization.

226152000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423000010 (or 9423000006 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 226152000024 its reverse (420000251622), we get a palindrome (646152251646).

The spelling of 226152000024 in words is "two hundred twenty-six billion, one hundred fifty-two million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 9423000001 18846000002 28269000003 37692000004 56538000006 75384000008 113076000012 226152000024