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2234333376 = 263311414761
BaseRepresentation
bin1000010100101101…
…0011100011000000
312202201021220012000
42011023103203000
514033442132001
61005413304000
7106240343322
oct20513234300
95681256160
102234333376
11a4724a810
12524335000
13297b92b72
14172a57612
15d124ea86
hex852d38c0

2234333376 has 448 divisors, whose sum is σ = 7619512320. Its totient is φ = 635904000.

The previous prime is 2234333351. The next prime is 2234333389. The reversal of 2234333376 is 6733334322.

It is a super-3 number, since 3×22343333763 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2234333376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36628386 + ... + 36628446.

It is an arithmetic number, because the mean of its divisors is an integer number (17007840).

Almost surely, 22234333376 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 2234333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

2234333376 is an abundant number, since it is smaller than the sum of its proper divisors (5385178944).

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

2234333376 is a wasteful number, since it uses less digits than its factorization.

2234333376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 163296, while the sum is 36.

The square root of 2234333376 is about 47268.7357140002. The cubic root of 2234333376 is about 1307.3222648362.

Adding to 2234333376 its reverse (6733334322), we get a palindrome (8967667698).

The spelling of 2234333376 in words is "two billion, two hundred thirty-four million, three hundred thirty-three thousand, three hundred seventy-six".