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993131230 = 257133972749
BaseRepresentation
bin111011001100011…
…111101011011110
32120012202021221011
4323030133223132
54013220144410
6242314125434
733416322220
oct7314375336
92505667834
10993131230
1146a662213
1223872087a
1312a9a3920
1495c80410
155c2c618a
hex3b31fade

993131230 has 64 divisors (see below), whose sum is σ = 2206512000. Its totient is φ = 313403904.

The previous prime is 993131219. The next prime is 993131263. The reversal of 993131230 is 32131399.

It is a junction number, because it is equal to n+sod(n) for n = 993131192 and 993131201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359896 + ... + 362644.

It is an arithmetic number, because the mean of its divisors is an integer number (34476750).

Almost surely, 2993131230 is an apocalyptic number.

993131230 is an abundant number, since it is smaller than the sum of its proper divisors (1213380770).

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

993131230 is a wasteful number, since it uses less digits than its factorization.

993131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 993131230 is about 31513.9846734747. The cubic root of 993131230 is about 997.7051476813.

The spelling of 993131230 in words is "nine hundred ninety-three million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 397 455 794 910 1985 2749 2779 3970 5161 5498 5558 10322 13745 13895 19243 25805 27490 27790 35737 36127 38486 51610 71474 72254 96215 178685 180635 192430 250159 357370 361270 500318 1091353 1250795 2182706 2501590 5456765 7639471 10913530 14187589 15278942 28375178 38197355 70937945 76394710 99313123 141875890 198626246 496565615 993131230