Search a number
-
+
2234941632 = 26347112509
BaseRepresentation
bin1000010100110110…
…1000000011000000
312202202102210120000
42011031220003000
514034121113012
61005434320000
7106245455550
oct20515500300
95682383500
102234941632
11a47625800
12524589000
13298046991
14172b75160
15d131eddc
hex853680c0

2234941632 has 420 divisors, whose sum is σ = 8338748880. Its totient is φ = 579363840.

The previous prime is 2234941627. The next prime is 2234941711. The reversal of 2234941632 is 2361494322.

2234941632 is a `hidden beast` number, since 2 + 2 + 3 + 494 + 163 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390594 + ... + 4391102.

It is an arithmetic number, because the mean of its divisors is an integer number (19854164).

Almost surely, 22234941632 is an apocalyptic number.

2234941632 is a gapful number since it is divisible by the number (22) 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 2234941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169374440).

2234941632 is an abundant number, since it is smaller than the sum of its proper divisors (6103807248).

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

2234941632 is a wasteful number, since it uses less digits than its factorization.

2234941632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 532 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2234941632 is about 47275.1692963653. The cubic root of 2234941632 is about 1307.4408855208.

The spelling of 2234941632 in words is "two billion, two hundred thirty-four million, nine hundred forty-one thousand, six hundred thirty-two".