Search a number
-
+
229817373660 = 22335783732509
BaseRepresentation
bin1101011000001000101…
…1101101001111011100
3210222012100221012122000
43112002023231033130
512231131221424120
6253324315522300
722414042305360
oct3260213551734
9728170835560
10229817373660
1189512a09376
1238659459390
1318896900b44
14b1a218b2a0
155ea1026990
hex35822ed3dc

229817373660 has 192 divisors, whose sum is σ = 826974489600. Its totient is φ = 51896726784.

The previous prime is 229817373649. The next prime is 229817373671. The reversal of 229817373660 is 66373718922.

229817373660 is a `hidden beast` number, since 22 + 98 + 173 + 7 + 366 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229817373649) and next prime (229817373671).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 229817373597 and 229817373606.

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, 52515 + ... + 679994.

It is an arithmetic number, because the mean of its divisors is an integer number (4307158800).

Almost surely, 2229817373660 is an apocalyptic number.

229817373660 is a gapful number since it is divisible by the number (20) 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 229817373660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413487244800).

229817373660 is an abundant number, since it is smaller than the sum of its proper divisors (597157115940).

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

229817373660 is a wasteful number, since it uses less digits than its factorization.

229817373660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732617 (or 732609 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 229817373660 in words is "two hundred twenty-nine billion, eight hundred seventeen million, three hundred seventy-three thousand, six hundred sixty".