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212323204340 = 225134119917749
BaseRepresentation
bin1100010110111101110…
…0101111110011110100
3202022001011120022211222
43011233130233303310
511434314220014330
6241312343045512
721224365313312
oct3055734576364
9668034508758
10212323204340
1182055a05aa5
1235196740898
1317039417570
14a3c29d30b2
1557ca2890e5
hex316f72fcf4

212323204340 has 48 divisors (see below), whose sum is σ = 491888754000. Its totient is φ = 76484152320.

The previous prime is 212323204333. The next prime is 212323204343. The reversal of 212323204340 is 43402323212.

It can be written as a sum of positive squares in 8 ways, for example, as 8981731984 + 203341472356 = 94772^2 + 450934^2 .

It is a super-2 number, since 2×2123232043402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323204343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9948215 + ... + 9969534.

It is an arithmetic number, because the mean of its divisors is an integer number (10247682375).

Almost surely, 2212323204340 is an apocalyptic number.

212323204340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323204340 is an abundant number, since it is smaller than the sum of its proper divisors (279565549660).

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

212323204340 is a wasteful number, since it uses less digits than its factorization.

212323204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19917812 (or 19917810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 212323204340 its reverse (43402323212), we get a palindrome (255725527552).

The spelling of 212323204340 in words is "two hundred twelve billion, three hundred twenty-three million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 19917749 39835498 79670996 99588745 199177490 258930737 398354980 517861474 816627709 1035722948 1294653685 1633255418 2589307370 3266510836 4083138545 5178614740 8166277090 10616160217 16332554180 21232320434 42464640868 53080801085 106161602170 212323204340