Search a number
-
+
2264118480 = 243551317231
BaseRepresentation
bin1000011011110011…
…1011010011010000
312211210100010200000
42012330323103100
514114103242410
61012355530000
7110051455341
oct20674732320
95753303600
102264118480
11a620437a8
125322b9900
132a10c10a0
141769ac0c8
15d3b84dc0
hex86f3b4d0

2264118480 has 720 divisors, whose sum is σ = 9311737344. Its totient is φ = 507617280.

The previous prime is 2264118469. The next prime is 2264118487. The reversal of 2264118480 is 848114622.

2264118480 is a `hidden beast` number, since 2 + 2 + 64 + 118 + 480 = 666.

2264118480 is digitally balanced in base 2, because in such base 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 (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264118487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73036065 + ... + 73036095.

Almost surely, 22264118480 is an apocalyptic number.

2264118480 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 2264118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655868672).

2264118480 is an abundant number, since it is smaller than the sum of its proper divisors (7047618864).

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

2264118480 is a wasteful number, since it uses less digits than its factorization.

2264118480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2264118480 is about 47582.7540186568. The cubic root of 2264118480 is about 1313.1057905556.

The spelling of 2264118480 in words is "two billion, two hundred sixty-four million, one hundred eighteen thousand, four hundred eighty".