Search a number
-
+
2253570000 = 24354116829
BaseRepresentation
bin1000011001010010…
…1011111111010000
312211001111012212120
42012110223333100
514103403220000
61011341454240
7106563012633
oct20624537720
95731435776
102253570000
11a57099550
1252a871380
1329bb69996
14175423c1a
15d2c9e6a0
hex8652bfd0

2253570000 has 200 divisors, whose sum is σ = 7937334240. Its totient is φ = 546240000.

The previous prime is 2253569987. The next prime is 2253570041. The reversal of 2253570000 is 753522.

2253570000 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 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 (24).

It is a congruent number.

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, 326586 + ... + 333414.

Almost surely, 22253570000 is an apocalyptic number.

2253570000 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 2253570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968667120).

2253570000 is an abundant number, since it is smaller than the sum of its proper divisors (5683764240).

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

2253570000 is a wasteful number, since it uses less digits than its factorization.

2253570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2253570000 is about 47471.7810915074. The cubic root of 2253570000 is about 1311.0633713878.

The spelling of 2253570000 in words is "two billion, two hundred fifty-three million, five hundred seventy thousand".