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231433243400 = 235217113602377
BaseRepresentation
bin1101011110001001111…
…1110000101100001000
3211010100222110220012102
43113202133300230020
512242433402242100
6254152521332532
722502063053022
oct3274237605410
9733328426172
10231433243400
118a17203a207
1238a2a637148
1318a93602098
14b2b6a13012
156047d0ccd5
hex35e27f0b08

231433243400 has 96 divisors (see below), whose sum is σ = 574777040040. Its totient is φ = 86356623360.

The previous prime is 231433243397. The next prime is 231433243411. The reversal of 231433243400 is 4342334132.

231433243400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7123022404 + 224310220996 = 84398^2 + 473614^2 .

It is a super-2 number, since 2×2314332434002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83012 + ... + 685388.

Almost surely, 2231433243400 is an apocalyptic number.

231433243400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231433243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287388520020).

231433243400 is an abundant number, since it is smaller than the sum of its proper divisors (343343796640).

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

231433243400 is a wasteful number, since it uses less digits than its factorization.

231433243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602523 (or 602514 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 231433243400 its reverse (4342334132), we get a palindrome (235775577532).

The spelling of 231433243400 in words is "two hundred thirty-one billion, four hundred thirty-three million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 113 136 170 200 226 340 425 452 565 680 850 904 1130 1700 1921 2260 2825 3400 3842 4520 5650 7684 9605 11300 15368 19210 22600 38420 48025 76840 96050 192100 384200 602377 1204754 2409508 3011885 4819016 6023770 10240409 12047540 15059425 20480818 24095080 30118850 40961636 51202045 60237700 68068601 81923272 102404090 120475400 136137202 204808180 256010225 272274404 340343005 409616360 512020450 544548808 680686010 1024040900 1157166217 1361372020 1701715025 2048081800 2314332434 2722744040 3403430050 4628664868 5785831085 6806860100 9257329736 11571662170 13613720200 23143324340 28929155425 46286648680 57858310850 115716621700 231433243400