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974250000 = 243256433
BaseRepresentation
bin111010000100011…
…110000000010000
32111220020000202100
4322010132000100
53443402000000
6240401320400
733066663003
oct7204360020
92456200670
10974250000
1145aa36499
12232336100
13126ac27b9
149356753a
155a7e6a00
hex3a11e010

974250000 has 210 divisors, whose sum is σ = 3416010962. Its totient is φ = 259200000.

The previous prime is 974249987. The next prime is 974250007. The reversal of 974250000 is 52479.

It can be written as a sum of positive squares in 7 ways, for example, as 912281616 + 61968384 = 30204^2 + 7872^2 .

It is not an unprimeable number, because it can be changed into a prime (974250007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2249784 + ... + 2250216.

Almost surely, 2974250000 is an apocalyptic number.

974250000 is a gapful number since it is divisible by the number (90) 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 974250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708005481).

974250000 is an abundant number, since it is smaller than the sum of its proper divisors (2441760962).

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

974250000 is an equidigital number, since it uses as much as digits as its factorization.

974250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 974250000 is about 31212.9780700272. The cubic root of 974250000 is about 991.3419206723.

The spelling of 974250000 in words is "nine hundred seventy-four million, two hundred fifty thousand".