Search a number
-
+
2209682976 = 253193139079
BaseRepresentation
bin1000001110110101…
…0001011000100000
312200222220112012020
42003231101120200
514011134323401
61003133101440
7105520665264
oct20355213040
95628815166
102209682976
11a34343586
12518027880
13292a41b27
1416d67c0a4
15cded0d36
hex83b51620

2209682976 has 96 divisors (see below), whose sum is σ = 6302822400. Its totient is φ = 675267840.

The previous prime is 2209682947. The next prime is 2209683017. The reversal of 2209682976 is 6792869022.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37005 + ... + 76083.

It is an arithmetic number, because the mean of its divisors is an integer number (65654400).

Almost surely, 22209682976 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 2209682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151411200).

2209682976 is an abundant number, since it is smaller than the sum of its proper divisors (4093139424).

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

2209682976 is a wasteful number, since it uses less digits than its factorization.

2209682976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39142 (or 39134 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2209682976 is about 47007.2651406142. The cubic root of 2209682976 is about 1302.4967748099.

The spelling of 2209682976 in words is "two billion, two hundred nine million, six hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 39079 56544 78158 117237 156316 234474 312632 468948 625264 742501 937896 1211449 1250528 1485002 1875792 2227503 2422898 2970004 3634347 3751584 4455006 4845796 5940008 7268694 8910012 9691592 11880016 14537388 17820024 19383184 23017531 23760032 29074776 35640048 38766368 46035062 58149552 69052593 71280096 92070124 116299104 138105186 184140248 276210372 368280496 552420744 736560992 1104841488 2209682976