Search a number
-
+
2291505552 = 24357269313
BaseRepresentation
bin1000100010010101…
…1001100110010000
312220200212112200000
42020211121212100
514143111134202
61015214530000
7110533322130
oct21045314620
95820775600
102291505552
11a7654a046
1253b506900
132a698c95b
1417a49aac0
15d629491c
hex88959990

2291505552 has 240 divisors, whose sum is σ = 7653260160. Its totient is φ = 650198016.

The previous prime is 2291505533. The next prime is 2291505677. The reversal of 2291505552 is 2555051922.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7320948 + ... + 7321260.

It is an arithmetic number, because the mean of its divisors is an integer number (31888584).

Almost surely, 22291505552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826630080).

2291505552 is an abundant number, since it is smaller than the sum of its proper divisors (5361754608).

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

2291505552 is a wasteful number, since it uses less digits than its factorization.

2291505552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 2291505552 is about 47869.6725704281. The cubic root of 2291505552 is about 1318.3790847660.

The spelling of 2291505552 in words is "two billion, two hundred ninety-one million, five hundred five thousand, five hundred fifty-two".