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77200230 = 235171931257
BaseRepresentation
bin1001001100111…
…11101101100110
312101021011210210
410212133231212
5124230401410
611354400250
71625122362
oct446375546
9171234723
1077200230
113a639748
1221a30086
1312cbcc13
14a3782a2
156b9e220
hex499fb66

77200230 has 128 divisors (see below), whose sum is σ = 213995520. Its totient is φ = 17694720.

The previous prime is 77200229. The next prime is 77200243. The reversal of 77200230 is 3200277.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77200197 and 77200206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300262 + ... + 300518.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 277200230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77200230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106997760).

77200230 is an abundant number, since it is smaller than the sum of its proper divisors (136795290).

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

77200230 is a wasteful number, since it uses less digits than its factorization.

77200230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 77200230 is about 8786.3661430651. The cubic root of 77200230 is about 425.8005303892.

The spelling of 77200230 in words is "seventy-seven million, two hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 31 34 38 51 57 62 85 93 95 102 114 155 170 186 190 255 257 285 310 323 465 510 514 527 570 589 646 771 930 969 1054 1178 1285 1542 1581 1615 1767 1938 2570 2635 2945 3162 3230 3534 3855 4369 4845 4883 5270 5890 7710 7905 7967 8738 8835 9690 9766 10013 13107 14649 15810 15934 17670 20026 21845 23901 24415 26214 29298 30039 39835 43690 47802 48830 50065 60078 65535 73245 79670 83011 100130 119505 131070 135439 146490 150195 151373 166022 239010 249033 270878 300390 302746 406317 415055 454119 498066 677195 756865 812634 830110 908238 1245165 1354390 1513730 2031585 2270595 2490330 2573341 4063170 4541190 5146682 7720023 12866705 15440046 25733410 38600115 77200230