Search a number
-
+
2166488850 = 2352592291069
BaseRepresentation
bin1000000100100001…
…1111111100010010
312120222122000222210
42001020133330102
513414110120400
6554551212550
7104454565011
oct20110377422
95528560883
102166488850
11a11a21159
12505677156
13286aca486
14167a36a78
15ca2ec950
hex8121ff12

2166488850 has 96 divisors (see below), whose sum is σ = 5492952000. Its totient is φ = 564929280.

The previous prime is 2166488837. The next prime is 2166488903. The reversal of 2166488850 is 588846612.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2166488850.

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, 2026116 + ... + 2027184.

It is an arithmetic number, because the mean of its divisors is an integer number (57218250).

Almost surely, 22166488850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166488850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746476000).

2166488850 is an abundant number, since it is smaller than the sum of its proper divisors (3326463150).

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

2166488850 is a wasteful number, since it uses less digits than its factorization.

2166488850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2166488850 is about 46545.5567159745. The cubic root of 2166488850 is about 1293.9539462375.

The spelling of 2166488850 in words is "two billion, one hundred sixty-six million, four hundred eighty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 229 295 354 458 590 687 885 1069 1145 1374 1475 1770 2138 2290 2950 3207 3435 4425 5345 5725 6414 6870 8850 10690 11450 13511 16035 17175 26725 27022 32070 34350 40533 53450 63071 67555 80175 81066 126142 135110 160350 189213 202665 244801 315355 337775 378426 405330 489602 630710 675550 734403 946065 1013325 1224005 1468806 1576775 1892130 2026650 2448010 3153550 3672015 4730325 6120025 7344030 9460650 12240050 14443259 18360075 28886518 36720150 43329777 72216295 86659554 144432590 216648885 361081475 433297770 722162950 1083244425 2166488850