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3431013222 = 237313257499
BaseRepresentation
bin1100110010000001…
…0001101101100110
322212010001112022210
43030200101231212
524011314410342
61324242304250
7151011063000
oct31440215546
98763045283
103431013222
11150079901a
127b9058086
13428a94050
14247961370
1515133179c
hexcc811b66

3431013222 has 128 divisors (see below), whose sum is σ = 8668800000. Its totient is φ = 899555328.

The previous prime is 3431013221. The next prime is 3431013263. The reversal of 3431013222 is 2223101343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431013221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6875529 + ... + 6876027.

It is an arithmetic number, because the mean of its divisors is an integer number (67725000).

Almost surely, 23431013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334400000).

3431013222 is an abundant number, since it is smaller than the sum of its proper divisors (5237786778).

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

3431013222 is a wasteful number, since it uses less digits than its factorization.

3431013222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3431013222 is about 58574.8514466746. The cubic root of 3431013222 is about 1508.2527664043.

Adding to 3431013222 its reverse (2223101343), we get a palindrome (5654114565).

The spelling of 3431013222 in words is "three billion, four hundred thirty-one million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 257 273 294 343 499 514 546 637 686 771 998 1029 1274 1497 1542 1799 1911 2058 2994 3341 3493 3598 3822 4459 5397 6487 6682 6986 8918 10023 10479 10794 12593 12974 13377 19461 20046 20958 23387 24451 25186 26754 37779 38922 45409 46774 48902 70161 73353 75558 88151 90818 128243 136227 140322 146706 163709 171157 176302 256486 264453 272454 317863 327418 342314 384729 491127 513471 528906 635726 769458 897701 953589 982254 1026942 1145963 1667159 1795402 1907178 2225041 2291926 2693103 3334318 3437889 4450082 5001477 5386206 6283907 6675123 6875778 10002954 11670113 12567814 13350246 18851721 23340226 35010339 37703442 43987349 70020678 81690791 87974698 131962047 163381582 245072373 263924094 490144746 571835537 1143671074 1715506611 3431013222