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5415228000 = 2533537131929
BaseRepresentation
bin1010000101100010…
…11101001001100000
3111222101201002022000
411002301131021200
542042244244000
62253203044000
7251123451510
oct50261351140
914871632260
105415228000
112329833a46
121071670600
13683ba2530
143952ab840
1521a627000
hex142c5d260

5415228000 has 1536 divisors, whose sum is σ = 26417664000. Its totient is φ = 1045094400.

The previous prime is 5415227959. The next prime is 5415228001. The reversal of 5415228000 is 8225145.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415228001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 186731986 + ... + 186732014.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 25415228000 is an apocalyptic number.

5415228000 is a gapful number since it is divisible by the number (50) 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 5415228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832000).

5415228000 is an abundant number, since it is smaller than the sum of its proper divisors (21002436000).

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

5415228000 is a wasteful number, since it uses less digits than its factorization.

5415228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5415228000 is about 73588.2327549724. The cubic root of 5415228000 is about 1756.0582411589.

The spelling of 5415228000 in words is "five billion, four hundred fifteen million, two hundred twenty-eight thousand".