Search a number
-
+
2272997376 = 21234131731
BaseRepresentation
bin1000011101111011…
…0011000000000000
312212102001020020000
42013132303000000
514123341404001
61013314120000
7110220105336
oct20736630000
95772036200
102272997376
11a67058631
12535280000
132a2bac580
14177c3db56
15d483aa86
hex877b3000

2272997376 has 520 divisors, whose sum is σ = 7992319104. Its totient is φ = 637009920.

The previous prime is 2272997369. The next prime is 2272997399. The reversal of 2272997376 is 6737992722.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73322481 + ... + 73322511.

Almost surely, 22272997376 is an apocalyptic number.

2272997376 is a gapful number since it is divisible by the number (26) 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 2272997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996159552).

2272997376 is an abundant number, since it is smaller than the sum of its proper divisors (5719321728).

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

2272997376 is a wasteful number, since it uses less digits than its factorization.

2272997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 2272997376 is about 47675.9622451398. The cubic root of 2272997376 is about 1314.8200298265.

The spelling of 2272997376 in words is "two billion, two hundred seventy-two million, nine hundred ninety-seven thousand, three hundred seventy-six".