Search a number
-
+
2515223040 = 293511191567
BaseRepresentation
bin1001010111101011…
…0100001000000000
320111021211120100220
42111322310020000
520122344114130
61053325543040
7116221020531
oct22572641000
96437746326
102515223040
111080861330
125a2414a80
1331112c475
1419c094688
15eac36410
hex95eb4200

2515223040 has 320 divisors, whose sum is σ = 9239408640. Its totient is φ = 577290240.

The previous prime is 2515223033. The next prime is 2515223057. The reversal of 2515223040 is 403225152.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2515223040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604337 + ... + 1605903.

It is an arithmetic number, because the mean of its divisors is an integer number (28873152).

Almost surely, 22515223040 is an apocalyptic number.

2515223040 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 2515223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

2515223040 is an abundant number, since it is smaller than the sum of its proper divisors (6724185600).

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

2515223040 is a wasteful number, since it uses less digits than its factorization.

2515223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2515223040 is about 50151.9993619397. Note that the first 3 decimals coincide. The cubic root of 2515223040 is about 1359.9580148515.

Adding to 2515223040 its reverse (403225152), we get a palindrome (2918448192).

The spelling of 2515223040 in words is "two billion, five hundred fifteen million, two hundred twenty-three thousand, forty".