Search a number
-
+
2232101430 = 23251311316883
BaseRepresentation
bin1000010100001011…
…0010101000110110
312202120002111112100
42011002302220312
514032404221210
61005253402530
7106212356226
oct20502625066
95676074470
102232101430
11a45a65929
12523639446
13297590ca0
14172636086
15d0e5d5c0
hex850b2a36

2232101430 has 96 divisors (see below), whose sum is σ = 6305566176. Its totient is φ = 544545792.

The previous prime is 2232101419. The next prime is 2232101441. The reversal of 2232101430 is 341012322.

2232101430 is a `hidden beast` number, since 2 + 23 + 210 + 1 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (2232101419) and next prime (2232101441).

It is a super-3 number, since 3×22321014303 (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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123769 + ... + 140651.

It is an arithmetic number, because the mean of its divisors is an integer number (65682981).

Almost surely, 22232101430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152783088).

2232101430 is an abundant number, since it is smaller than the sum of its proper divisors (4073464746).

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

2232101430 is a wasteful number, since it uses less digits than its factorization.

2232101430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17022 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232101430 is about 47245.1207004491. The cubic root of 2232101430 is about 1306.8868113425.

Adding to 2232101430 its reverse (341012322), we get a palindrome (2573113752).

The spelling of 2232101430 in words is "two billion, two hundred thirty-two million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 113 117 130 195 226 234 339 390 565 585 678 1017 1130 1170 1469 1695 2034 2938 3390 4407 5085 7345 8814 10170 13221 14690 16883 22035 26442 33766 44070 50649 66105 84415 101298 132210 151947 168830 219479 253245 303894 438958 506490 658437 759735 1097395 1316874 1519470 1907779 1975311 2194790 3292185 3815558 3950622 5723337 6584370 9538895 9876555 11446674 17170011 19077790 19753110 24801127 28616685 34340022 49602254 57233370 74403381 85850055 124005635 148806762 171700110 223210143 248011270 372016905 446420286 744033810 1116050715 2232101430