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212430212340 = 22359299833877
BaseRepresentation
bin1100010111010111010…
…0111100110011110100
3202022022121220220020020
43011311310330303310
511440024113243330
6241331124405140
721230135004063
oct3056564746364
9668277826206
10212430212340
1182100353765
12352065467b0
1317055642ac8
14a3d2cca1da
1557d4875210
hex3175d3ccf4

212430212340 has 96 divisors (see below), whose sum is σ = 596204340480. Its totient is φ = 56514932736.

The previous prime is 212430212321. The next prime is 212430212369. The reversal of 212430212340 is 43212034212.

It is a happy number.

It is a super-2 number, since 2×2124302123402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212430212340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54790482 + ... + 54794358.

It is an arithmetic number, because the mean of its divisors is an integer number (6210461880).

Almost surely, 2212430212340 is an apocalyptic number.

212430212340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212430212340 is an abundant number, since it is smaller than the sum of its proper divisors (383774128140).

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

212430212340 is a wasteful number, since it uses less digits than its factorization.

212430212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212430212340 its reverse (43212034212), we get a palindrome (255642246552).

The spelling of 212430212340 in words is "two hundred twelve billion, four hundred thirty million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 929 983 1858 1966 2787 2949 3716 3877 3932 4645 4915 5574 5898 7754 9290 9830 11148 11631 11796 13935 14745 15508 18580 19385 19660 23262 27870 29490 38770 46524 55740 58155 58980 77540 116310 232620 913207 1826414 2739621 3601733 3652828 3811091 4566035 5479242 7203466 7622182 9132070 10805199 10958484 11433273 13698105 14406932 15244364 18008665 18264140 19055455 21610398 22866546 27396210 36017330 38110910 43220796 45733092 54025995 54792420 57166365 72034660 76221820 108051990 114332730 216103980 228665460 3540503539 7081007078 10621510617 14162014156 17702517695 21243021234 35405035390 42486042468 53107553085 70810070780 106215106170 212430212340