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234200988 = 2232721031289
BaseRepresentation
bin11011111010110…
…01111110011100
3121022200122100200
431331121332130
5434423412423
635123423500
75542450500
oct1575317634
9538618320
10234200988
1111022273a
1266524b90
13396a0488
1423166300
1515862d43
hexdf59f9c

234200988 has 108 divisors (see below), whose sum is σ = 695887920. Its totient is φ = 66213504.

The previous prime is 234200983. The next prime is 234201029. The reversal of 234200988 is 889002432.

It is a super-2 number, since 2×2342009882 = 109700205560352288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234200983) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 181048 + ... + 182336.

Almost surely, 2234200988 is an apocalyptic number.

234200988 is a gapful number since it is divisible by the number (28) 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 234200988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347943960).

234200988 is an abundant number, since it is smaller than the sum of its proper divisors (461686932).

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

234200988 is a wasteful number, since it uses less digits than its factorization.

234200988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 234200988 is about 15303.6266290053. The cubic root of 234200988 is about 616.4003939614.

The spelling of 234200988 in words is "two hundred thirty-four million, two hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 103 126 147 196 206 252 294 309 412 441 588 618 721 882 927 1236 1289 1442 1764 1854 2163 2578 2884 3708 3867 4326 5047 5156 6489 7734 8652 9023 10094 11601 12978 15141 15468 18046 20188 23202 25956 27069 30282 36092 45423 46404 54138 60564 63161 81207 90846 108276 126322 132767 162414 181692 189483 252644 265534 324828 378966 398301 531068 568449 757932 796602 929369 1136898 1194903 1593204 1858738 2273796 2389806 2788107 3717476 4779612 5576214 6505583 8364321 11152428 13011166 16728642 19516749 26022332 33457284 39033498 58550247 78066996 117100494 234200988