Search a number
-
+
2102220096 = 26319755579
BaseRepresentation
bin111110101001101…
…0101010101000000
312102111200211211120
41331103111111000
513301132020341
6544333512240
7103044401364
oct17523252500
95374624746
102102220096
11989715089
124a8042680
132766b7522
1415d2a72a4
15c4855066
hex7d4d5540

2102220096 has 56 divisors (see below), whose sum is σ = 5590458720. Its totient is φ = 697170432.

The previous prime is 2102220061. The next prime is 2102220149. The reversal of 2102220096 is 6900222012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10035 + ... + 65613.

It is an arithmetic number, because the mean of its divisors is an integer number (99829620).

Almost surely, 22102220096 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 2102220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795229360).

2102220096 is an abundant number, since it is smaller than the sum of its proper divisors (3488238624).

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

2102220096 is a wasteful number, since it uses less digits than its factorization.

2102220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55791 (or 55781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2102220096 is about 45849.9737840710. The cubic root of 2102220096 is about 1281.0302772739.

The spelling of 2102220096 in words is "two billion, one hundred two million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 37824 55579 111158 166737 222316 333474 444632 666948 889264 1333896 1778528 2667792 3557056 5335584 10671168 10949063 21898126 32847189 43796252 65694378 87592504 131388756 175185008 262777512 350370016 525555024 700740032 1051110048 2102220096