Search a number
-
+
2231430642 = 2327171954829
BaseRepresentation
bin1000010100000000…
…1110110111110010
312202111211102101100
42011000032313302
514032221240032
61005231145230
7106203563460
oct20500166762
95674742340
102231430642
11a45647961
12523375216
132973b787c
141724dd830
15d0d7997c
hex8500edf2

2231430642 has 96 divisors (see below), whose sum is σ = 6158505600. Its totient is φ = 568456704.

The previous prime is 2231430637. The next prime is 2231430701. The reversal of 2231430642 is 2460341322.

2231430642 is a `hidden beast` number, since 2 + 2 + 3 + 14 + 3 + 0 + 642 = 666.

It is a super-3 number, since 3×22314306423 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13284 + ... + 68112.

It is an arithmetic number, because the mean of its divisors is an integer number (64151100).

Almost surely, 22231430642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231430642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079252800).

2231430642 is an abundant number, since it is smaller than the sum of its proper divisors (3927074958).

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

2231430642 is a wasteful number, since it uses less digits than its factorization.

2231430642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54880 (or 54877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2231430642 is about 47238.0211482234. The cubic root of 2231430642 is about 1306.7558836273.

Adding to 2231430642 its reverse (2460341322), we get a palindrome (4691771964).

The spelling of 2231430642 in words is "two billion, two hundred thirty-one million, four hundred thirty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 40698 54829 109658 164487 328974 383803 493461 767606 932093 986922 1041751 1151409 1864186 2083502 2302818 2796279 3125253 3454227 5592558 6250506 6524651 6908454 7292257 8388837 9375759 13049302 14584514 16777674 17709767 18751518 19573953 21876771 35419534 39147906 43753542 53129301 58721859 65630313 106258602 117443718 123968369 131260626 159387903 247936738 318775806 371905107 743810214 1115715321 2231430642