Search a number
-
+
19223864010 = 23251317966509
BaseRepresentation
bin10001111001110101…
…001110001011001010
31211121202002110211100
4101321311032023022
5303332302122020
612455322042230
71250246101521
oct217165161312
954552073740
1019223864010
11817540861a
123886049376
131a7495bb80
14d051ad4b8
15777a59a90
hex479d4e2ca

19223864010 has 96 divisors (see below), whose sum is σ = 56993161680. Its totient is φ = 4453668864.

The previous prime is 19223863991. The next prime is 19223864081. The reversal of 19223864010 is 1046832291.

19223864010 is a `hidden beast` number, since 1 + 9 + 2 + 2 + 3 + 8 + 640 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9878968449 + 9344895561 = 99393^2 + 96669^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463365 + ... + 503144.

Almost surely, 219223864010 is an apocalyptic number.

19223864010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19223864010 is an abundant number, since it is smaller than the sum of its proper divisors (37769297670).

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

19223864010 is a wasteful number, since it uses less digits than its factorization.

19223864010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966552 (or 966549 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 19223864010 in words is "nineteen billion, two hundred twenty-three million, eight hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 966509 1933018 2899527 4832545 5799054 8698581 9665090 12564617 14497635 16430653 17397162 25129234 28995270 32861306 37693851 43492905 49291959 62823085 75387702 82153265 86985810 98583918 113081553 125646170 147875877 164306530 188469255 213598489 226163106 246459795 295751754 376938510 427196978 492919590 565407765 640795467 739379385 1067992445 1130815530 1281590934 1478758770 1922386401 2135984890 3203977335 3844772802 6407954670 9611932005 19223864010