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5319228000 = 253533179181
BaseRepresentation
bin1001111010000110…
…01111101001100000
3111201201001210001110
410331003033221200
541343210244000
62235453303320
7245546456232
oct47503175140
914651053043
105319228000
11228a6247a9
121045494b40
1366a02c5b8
1438663c252
15211eb2850
hex13d0cfa60

5319228000 has 384 divisors, whose sum is σ = 18316247040. Its totient is φ = 1347840000.

The previous prime is 5319227993. The next prime is 5319228007. The reversal of 5319228000 is 8229135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5319227993) and next prime (5319228007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5319228007) 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, 29387910 + ... + 29388090.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 25319228000 is an apocalyptic number.

5319228000 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 5319228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158123520).

5319228000 is an abundant number, since it is smaller than the sum of its proper divisors (12997019040).

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

5319228000 is a wasteful number, since it uses less digits than its factorization.

5319228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5319228000 is about 72933.0377812415. The cubic root of 5319228000 is about 1745.6193016433.

The spelling of 5319228000 in words is "five billion, three hundred nineteen million, two hundred twenty-eight thousand".