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2145216008 = 231383257967
BaseRepresentation
bin111111111011101…
…0110011000001000
312112111121021010202
41333313112120020
513343133403013
6552511231332
7104106015035
oct17767263010
95474537122
102145216008
11a00a115a1
124ba518548
1328258c8b0
14164c9a38c
15c84e9858
hex7fdd6608

2145216008 has 64 divisors (see below), whose sum is σ = 4405484160. Its totient is φ = 973357056.

The previous prime is 2145216001. The next prime is 2145216019. The reversal of 2145216008 is 8006125412.

It is not an unprimeable number, because it can be changed into a prime (2145216001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217941 + ... + 2218907.

It is an arithmetic number, because the mean of its divisors is an integer number (68835690).

Almost surely, 22145216008 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 2145216008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202742080).

2145216008 is an abundant number, since it is smaller than the sum of its proper divisors (2260268152).

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

2145216008 is a wasteful number, since it uses less digits than its factorization.

2145216008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2145216008 is about 46316.4766362900. The cubic root of 2145216008 is about 1289.7048797076.

The spelling of 2145216008 in words is "two billion, one hundred forty-five million, two hundred sixteen thousand, eight".

Divisors: 1 2 4 8 13 26 52 83 104 166 257 332 514 664 967 1028 1079 1934 2056 2158 3341 3868 4316 6682 7736 8632 12571 13364 21331 25142 26728 42662 50284 80261 85324 100568 160522 170648 248519 277303 321044 497038 554606 642088 994076 1043393 1109212 1988152 2086786 2218424 3230747 4173572 6461494 8347144 12922988 20627077 25845976 41254154 82508308 165016616 268152001 536304002 1072608004 2145216008