Search a number
-
+
2254110000 = 24354227331
BaseRepresentation
bin1000011001011010…
…1111110100110000
312211002111122121120
42012112233310300
514104023010000
61011401222240
7106600422162
oct20626576460
95732448546
102254110000
11a5742822a
1252aa91980
1329bcc86cc
14175524932
15d2d596a0
hex865afd30

2254110000 has 200 divisors, whose sum is σ = 7330703424. Its totient is φ = 596640000.

The previous prime is 2254109983. The next prime is 2254110017. The reversal of 2254110000 is 114522.

2254110000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254109983) and next prime (2254110017).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6809835 + ... + 6810165.

Almost surely, 22254110000 is an apocalyptic number.

2254110000 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 2254110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665351712).

2254110000 is an abundant number, since it is smaller than the sum of its proper divisors (5076593424).

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

2254110000 is a wasteful number, since it uses less digits than its factorization.

2254110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2254110000 is about 47477.4683402559. The cubic root of 2254110000 is about 1311.1680819404.

Adding to 2254110000 its reverse (114522), we get a palindrome (2254224522).

The spelling of 2254110000 in words is "two billion, two hundred fifty-four million, one hundred ten thousand".