Search a number
-
+
2253069000 = 2333537213131
BaseRepresentation
bin1000011001001011…
…0001101011001000
312211000112202122000
42012102301223020
514103241202000
61011323031000
7106555525200
oct20622615310
95730482560
102253069000
11a568870a6
1252a66b460
1329ba22930
14175333400
15d2c01000
hex864b1ac8

2253069000 has 768 divisors, whose sum is σ = 9859449600. Its totient is φ = 471744000.

The previous prime is 2253068999. The next prime is 2253069017. The reversal of 2253069000 is 9603522.

It is a super-2 number, since 2×22530690002 = 10152639837522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17198935 + ... + 17199065.

It is an arithmetic number, because the mean of its divisors is an integer number (12837825).

Almost surely, 22253069000 is an apocalyptic number.

2253069000 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 2253069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929724800).

2253069000 is an abundant number, since it is smaller than the sum of its proper divisors (7606380600).

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

2253069000 is a wasteful number, since it uses less digits than its factorization.

2253069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2253069000 is about 47466.5039791220. The cubic root of 2253069000 is about 1310.9662083043.

The spelling of 2253069000 in words is "two billion, two hundred fifty-three million, sixty-nine thousand".