[go: up one dir, main page]

Search a number
-
+
2234825712 = 2432721731601
BaseRepresentation
bin1000010100110100…
…1011101111110000
312202202012220112200
42011031023233300
514034103410322
61005432023200
7106244463600
oct20515135760
95682186480
102234825712
11a475566a9
12524531b00
13298005ca2
14172b44c00
15d12ea8ac
hex8534bbf0

2234825712 has 360 divisors, whose sum is σ = 7965240192. Its totient is φ = 580608000.

The previous prime is 2234825699. The next prime is 2234825759. The reversal of 2234825712 is 2175284322.

2234825712 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 82 + 571 + 2 = 666.

2234825712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3718212 + ... + 3718812.

Almost surely, 22234825712 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 2234825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982620096).

2234825712 is an abundant number, since it is smaller than the sum of its proper divisors (5730414480).

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

2234825712 is a wasteful number, since it uses less digits than its factorization.

2234825712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 661 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2234825712 is about 47273.9432668780. The cubic root of 2234825712 is about 1307.4182807295.

The spelling of 2234825712 in words is "two billion, two hundred thirty-four million, eight hundred twenty-five thousand, seven hundred twelve".