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2231110134 = 2321159331577
BaseRepresentation
bin1000010011111100…
…0000100111110110
312202111020010201200
42010333000213312
514032131011014
61005220233330
7106201060161
oct20477004766
95674203650
102231110134
11a45449080
1252323b846
13297304a16
14172458ad8
15d0d14a09
hex84fc09f6

2231110134 has 96 divisors (see below), whose sum is σ = 5388439680. Its totient is φ = 661478400.

The previous prime is 2231110121. The next prime is 2231110139. The reversal of 2231110134 is 4310111322.

2231110134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22311101343 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231110139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3866454 + ... + 3867030.

It is an arithmetic number, because the mean of its divisors is an integer number (56129580).

Almost surely, 22231110134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231110134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694219840).

2231110134 is an abundant number, since it is smaller than the sum of its proper divisors (3157329546).

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

2231110134 is a wasteful number, since it uses less digits than its factorization.

2231110134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2231110134 is about 47234.6285472851. The cubic root of 2231110134 is about 1306.6933160289.

Adding to 2231110134 its reverse (4310111322), we get a palindrome (6541221456).

The spelling of 2231110134 in words is "two billion, two hundred thirty-one million, one hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 331 354 531 577 649 662 993 1062 1154 1298 1731 1947 1986 2979 3462 3641 3894 5193 5841 5958 6347 7282 10386 10923 11682 12694 19041 19529 21846 32769 34043 38082 39058 57123 58587 65538 68086 102129 114246 117174 175761 190987 204258 214819 306387 351522 374473 381974 429638 572961 612774 644457 748946 1123419 1145922 1288914 1718883 1933371 2100857 2246838 3370257 3437766 3866742 4201714 6302571 6740514 11268233 12605142 18907713 22536466 33804699 37815426 67609398 101414097 123950563 202828194 247901126 371851689 743703378 1115555067 2231110134