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2134422312 = 2331164112613
BaseRepresentation
bin111111100111000…
…1011001100101000
312111202021212222020
41333032023030220
513332403003222
6551444024440
7103615201401
oct17716131450
95452255866
102134422312
119a590a090
124b6992120
132802809a9
1416368a9a8
15c75b665c
hex7f38b328

2134422312 has 64 divisors (see below), whose sum is σ = 5830695360. Its totient is φ = 645734400.

The previous prime is 2134422289. The next prime is 2134422337. The reversal of 2134422312 is 2132244312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162918 + ... + 175530.

It is an arithmetic number, because the mean of its divisors is an integer number (91104615).

Almost surely, 22134422312 is an apocalyptic number.

2134422312 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 2134422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915347680).

2134422312 is an abundant number, since it is smaller than the sum of its proper divisors (3696273048).

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

2134422312 is a wasteful number, since it uses less digits than its factorization.

2134422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13270 counting only the distinct ones).

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

The square root of 2134422312 is about 46199.8085710320. The cubic root of 2134422312 is about 1287.5381833273.

Adding to 2134422312 its reverse (2132244312), we get a palindrome (4266666624).

The spelling of 2134422312 in words is "two billion, one hundred thirty-four million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 641 1282 1923 2564 3846 5128 7051 7692 12613 14102 15384 21153 25226 28204 37839 42306 50452 56408 75678 84612 100904 138743 151356 169224 277486 302712 416229 554972 832458 1109944 1664916 3329832 8084933 16169866 24254799 32339732 48509598 64679464 88934263 97019196 177868526 194038392 266802789 355737052 533605578 711474104 1067211156 2134422312