Search a number
-
+
2099772936 = 233359916229
BaseRepresentation
bin111110100100111…
…1111111000001000
312102100002111222000
41331021333320020
513300020213221
6544205231000
7103014526662
oct17511777010
95370074860
102099772936
119882a3538
124a7262460
1327603b6c1
1415cc2b532
15c451ee26
hex7d27fe08

2099772936 has 64 divisors (see below), whose sum is σ = 5842800000. Its totient is φ = 698712768.

The previous prime is 2099772929. The next prime is 2099772937. The reversal of 2099772936 is 6392779902.

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

It is not an unprimeable number, because it can be changed into a prime (2099772937) 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, 121270 + ... + 137498.

It is an arithmetic number, because the mean of its divisors is an integer number (91293750).

Almost surely, 22099772936 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 2099772936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921400000).

2099772936 is an abundant number, since it is smaller than the sum of its proper divisors (3743027064).

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

2099772936 is a wasteful number, since it uses less digits than its factorization.

2099772936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16843 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2099772936 is about 45823.2794112338. The cubic root of 2099772936 is about 1280.5330088116.

The spelling of 2099772936 in words is "two billion, ninety-nine million, seven hundred seventy-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 599 1198 1797 2396 3594 4792 5391 7188 10782 14376 16173 16229 21564 32346 32458 43128 48687 64692 64916 97374 129384 129832 146061 194748 292122 389496 438183 584244 876366 1168488 1752732 3505464 9721171 19442342 29163513 38884684 58327026 77769368 87490539 116654052 174981078 233308104 262471617 349962156 524943234 699924312 1049886468 2099772936