Search a number
-
+
2231501400 = 2334522353113
BaseRepresentation
bin1000010100000010…
…0000001001011000
312202111222000110000
42011000200021120
514032231021100
61005232453000
7106204306662
oct20500401130
95674860400
102231501400
11a45696037
125233aa160
13297410b3b
1417251b532
15d0d90900
hex85020258

2231501400 has 480 divisors, whose sum is σ = 8312816160. Its totient is φ = 553512960.

The previous prime is 2231501399. The next prime is 2231501429. The reversal of 2231501400 is 41051322.

It is a super-3 number, since 3×22315014003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19747744 + ... + 19747856.

It is an arithmetic number, because the mean of its divisors is an integer number (17318367).

Almost surely, 22231501400 is an apocalyptic number.

2231501400 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 2231501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156408080).

2231501400 is an abundant number, since it is smaller than the sum of its proper divisors (6081314760).

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

2231501400 is a wasteful number, since it uses less digits than its factorization.

2231501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2231501400 is about 47238.7700940657. The cubic root of 2231501400 is about 1306.7696957610.

Adding to 2231501400 its reverse (41051322), we get a palindrome (2272552722).

The spelling of 2231501400 in words is "two billion, two hundred thirty-one million, five hundred one thousand, four hundred".