Search a number
-
+
92267033940 = 223252937477721
BaseRepresentation
bin101010111101110001…
…0110011010101010100
322211011020200222001100
41111323202303111110
53002430330041230
6110215322430100
76444314563644
oct1257342632524
9284136628040
1092267033940
1136148376264
1215a70062330
1389156c4393
144674028524
1526003da660
hex157b8b3554

92267033940 has 144 divisors (see below), whose sum is σ = 297353281680. Its totient is φ = 23114004480.

The previous prime is 92267033909. The next prime is 92267033941. The reversal of 92267033940 is 4933076229.

It can be written as a sum of positive squares in 8 ways, for example, as 2773918224 + 89493115716 = 52668^2 + 299154^2 .

It is a super-2 number, since 2×922670339402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92267033941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45721 + ... + 432000.

It is an arithmetic number, because the mean of its divisors is an integer number (2064953345).

Almost surely, 292267033940 is an apocalyptic number.

92267033940 is a gapful number since it is divisible by the number (90) 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 92267033940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148676640840).

92267033940 is an abundant number, since it is smaller than the sum of its proper divisors (205086247740).

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

92267033940 is a wasteful number, since it uses less digits than its factorization.

92267033940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477802 (or 477797 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 92267033940 in words is "ninety-two billion, two hundred sixty-seven million, thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1305 1332 1665 1740 2146 2220 2610 3219 3330 4292 5220 5365 6438 6660 9657 10730 12876 16095 19314 21460 32190 38628 48285 64380 96570 193140 477721 955442 1433163 1910884 2388605 2866326 4299489 4777210 5732652 7165815 8598978 9554420 13853909 14331630 17197956 17675677 21497445 27707818 28663260 35351354 41561727 42994890 53027031 55415636 69269545 70702708 83123454 85989780 88378385 106054062 124685181 138539090 159081093 166246908 176756770 207808635 212108124 249370362 265135155 277078180 318162186 353513540 415617270 498740724 512594633 530270310 623425905 636324372 795405465 831234540 1025189266 1060540620 1246851810 1537783899 1590810930 2050378532 2493703620 2562973165 3075567798 3181621860 4613351697 5125946330 6151135596 7688919495 9226703394 10251892660 15377838990 18453406788 23066758485 30755677980 46133516970 92267033940