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2214111432 = 2331364111071
BaseRepresentation
bin1000001111111000…
…1010100011001000
312201022020111220010
42003332022203020
514013303031212
61003412031520
7105603431241
oct20376124310
95638214803
102214111432
11a36898765
125196025a0
13293932710
141700b1cc8
15ce5a803c
hex83f8a8c8

2214111432 has 64 divisors (see below), whose sum is σ = 5970908160. Its totient is φ = 680140800.

The previous prime is 2214111421. The next prime is 2214111437. The reversal of 2214111432 is 2341114122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214111399 and 2214111408.

It is not an unprimeable number, because it can be changed into a prime (2214111437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194457 + ... + 205527.

It is an arithmetic number, because the mean of its divisors is an integer number (93295440).

Almost surely, 22214111432 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 2214111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985454080).

2214111432 is an abundant number, since it is smaller than the sum of its proper divisors (3756796728).

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

2214111432 is a wasteful number, since it uses less digits than its factorization.

2214111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11734 (or 11730 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2214111432 is about 47054.3455166470. The cubic root of 2214111432 is about 1303.3663114099.

Adding to 2214111432 its reverse (2341114122), we get a palindrome (4555225554).

The spelling of 2214111432 in words is "two billion, two hundred fourteen million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 641 1282 1923 2564 3846 5128 7692 8333 11071 15384 16666 22142 24999 33213 33332 44284 49998 66426 66664 88568 99996 132852 143923 199992 265704 287846 431769 575692 863538 1151384 1727076 3454152 7096511 14193022 21289533 28386044 42579066 56772088 85158132 92254643 170316264 184509286 276763929 369018572 553527858 738037144 1107055716 2214111432