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2234314212 = 2231331736329
BaseRepresentation
bin1000010100101100…
…1110110111100100
312202201020220220020
42011023032313210
514033441023322
61005413035140
7106240233414
oct20513166744
95681226806
102234314212
11a47237379
12524325ab0
13297b87220
14172a50644
15d124905c
hex852cede4

2234314212 has 96 divisors (see below), whose sum is σ = 5875860480. Its totient is φ = 656087040.

The previous prime is 2234314211. The next prime is 2234314219. The reversal of 2234314212 is 2124134322.

It is a happy number.

2234314212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2234314211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349864 + ... + 356192.

It is an arithmetic number, because the mean of its divisors is an integer number (61206880).

Almost surely, 22234314212 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 2234314212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937930240).

2234314212 is an abundant number, since it is smaller than the sum of its proper divisors (3641546268).

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

2234314212 is a wasteful number, since it uses less digits than its factorization.

2234314212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6451 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2234314212 is about 47268.5330002952. The cubic root of 2234314212 is about 1307.3185271672.

Adding to 2234314212 its reverse (2124134322), we get a palindrome (4358448534).

The spelling of 2234314212 in words is "two billion, two hundred thirty-four million, three hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 73 78 93 124 146 156 186 219 292 372 403 438 806 876 949 1209 1612 1898 2263 2418 2847 3796 4526 4836 5694 6329 6789 9052 11388 12658 13578 18987 25316 27156 29419 37974 58838 75948 82277 88257 117676 164554 176514 196199 246831 329108 353028 392398 462017 493662 588597 784796 924034 987324 1177194 1386051 1848068 2354388 2550587 2772102 5101174 5544204 6006221 7651761 10202348 12012442 14322527 15303522 18018663 24024884 28645054 30607044 36037326 42967581 57290108 72074652 85935162 171870324 186192851 372385702 558578553 744771404 1117157106 2234314212