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2249247000 = 23353721113107
BaseRepresentation
bin1000011000010000…
…1100100100011000
312210202100120211110
42012010030210120
514101301401000
61011105100320
7106511166300
oct20604144430
95722316743
102249247000
11a54706620
125293276a0
1329acb50b0
14174a1a600
15d26e8850
hex8610c918

2249247000 has 768 divisors, whose sum is σ = 9680186880. Its totient is φ = 427392000.

The previous prime is 2249246977. The next prime is 2249247031. The reversal of 2249247000 is 7429422.

It is a super-2 number, since 2×22492470002 = 10118224134018000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21020947 + ... + 21021053.

It is an arithmetic number, because the mean of its divisors is an integer number (12604410).

Almost surely, 22249247000 is an apocalyptic number.

2249247000 is a gapful number since it is divisible by the number (20) 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 2249247000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2249247000 is an abundant number, since it is smaller than the sum of its proper divisors (7430939880).

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

2249247000 is a wasteful number, since it uses less digits than its factorization.

2249247000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2249247000 is about 47426.2269213987. The cubic root of 2249247000 is about 1310.2245016632.

The spelling of 2249247000 in words is "two billion, two hundred forty-nine million, two hundred forty-seven thousand".