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2231414112 = 253194726029
BaseRepresentation
bin1000010100000000…
…1010110101100000
312202111210120201010
42011000022311200
514032220222422
61005230540520
7106203464334
oct20500126540
95674716633
102231414112
11a456364a4
12523367740
132973b01a5
141724d77c4
15d0d74b0c
hex8500ad60

2231414112 has 96 divisors (see below), whose sum is σ = 6297177600. Its totient is φ = 689637888.

The previous prime is 2231414111. The next prime is 2231414117. The reversal of 2231414112 is 2114141322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22314141123 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231414111) 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, 72714 + ... + 98742.

It is an arithmetic number, because the mean of its divisors is an integer number (65595600).

Almost surely, 22231414112 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 2231414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148588800).

2231414112 is an abundant number, since it is smaller than the sum of its proper divisors (4065763488).

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

2231414112 is a wasteful number, since it uses less digits than its factorization.

2231414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26108 (or 26100 counting only the distinct ones).

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

The square root of 2231414112 is about 47237.8461829072. The cubic root of 2231414112 is about 1306.7526568890.

Adding to 2231414112 its reverse (2114141322), we get a palindrome (4345555434).

The spelling of 2231414112 in words is "two billion, two hundred thirty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 76 94 96 114 141 152 188 228 282 304 376 456 564 608 752 893 912 1128 1504 1786 1824 2256 2679 3572 4512 5358 7144 10716 14288 21432 26029 28576 42864 52058 78087 85728 104116 156174 208232 312348 416464 494551 624696 832928 989102 1223363 1249392 1483653 1978204 2446726 2498784 2967306 3670089 3956408 4893452 5934612 7340178 7912816 9786904 11869224 14680356 15825632 19573808 23243897 23738448 29360712 39147616 46487794 47476896 58721424 69731691 92975588 117442848 139463382 185951176 278926764 371902352 557853528 743804704 1115707056 2231414112