Search a number
-
+
214871723928 = 233213765333359
BaseRepresentation
bin1100100000011101011…
…0100100111110011000
3202112121210001112111100
43020013112210332120
512010024130131203
6242413302431400
721344502342501
oct3100726447630
9675553045440
10214871723928
1183143539534
1235788132560
1317354404314
14a585273ba8
1558c8d9aea3
hex32075a4f98

214871723928 has 96 divisors (see below), whose sum is σ = 587107310400. Its totient is φ = 70990093824.

The previous prime is 214871723921. The next prime is 214871723947. The reversal of 214871723928 is 829327178412.

214871723928 is a `hidden beast` number, since 2 + 1 + 4 + 87 + 172 + 392 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214871723921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6424513 + ... + 6457871.

It is an arithmetic number, because the mean of its divisors is an integer number (6115701150).

Almost surely, 2214871723928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214871723928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293553655200).

214871723928 is an abundant number, since it is smaller than the sum of its proper divisors (372235586472).

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

214871723928 is a wasteful number, since it uses less digits than its factorization.

214871723928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34154 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 214871723928 in words is "two hundred fourteen billion, eight hundred seventy-one million, seven hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 653 822 1096 1233 1306 1644 1959 2466 2612 3288 3918 4932 5224 5877 7836 9864 11754 15672 23508 33359 47016 66718 89461 100077 133436 178922 200154 266872 268383 300231 357844 400308 536766 600462 715688 800616 805149 1073532 1200924 1610298 2147064 2401848 3220596 4570183 6441192 9140366 13710549 18280732 21783427 27421098 36561464 41131647 43566854 54842196 65350281 82263294 87133708 109684392 130700562 164526588 174267416 196050843 261401124 329053176 392101686 522802248 784203372 1568406744 2984329499 5968658998 8952988497 11937317996 17905976994 23874635992 26858965491 35811953988 53717930982 71623907976 107435861964 214871723928