Search a number
-
+
2122114728 = 233277319211
BaseRepresentation
bin111111001111100…
…1110011010101000
312110220010121010210
41332133032122220
513321230132403
6550324141120
7103405451256
oct17637163250
95426117123
102122114728
11999973228
124b28377a0
1327a8619b6
14161ba55d6
15c6484b03
hex7e7ce6a8

2122114728 has 32 divisors (see below), whose sum is σ = 5324456160. Its totient is φ = 704815680.

The previous prime is 2122114727. The next prime is 2122114739. The reversal of 2122114728 is 8274112212.

It is a super-4 number, since 4×21221147284 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122114695 and 2122114704.

It is not an unprimeable number, because it can be changed into a prime (2122114723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152958 + ... + 166253.

It is an arithmetic number, because the mean of its divisors is an integer number (166389255).

Almost surely, 22122114728 is an apocalyptic number.

It is an amenable number.

2122114728 is an abundant number, since it is smaller than the sum of its proper divisors (3202341432).

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

2122114728 is a wasteful number, since it uses less digits than its factorization.

2122114728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319497 (or 319493 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 2122114728 is about 46066.4164875020. The cubic root of 2122114728 is about 1285.0586614451.

The spelling of 2122114728 in words is "two billion, one hundred twenty-two million, one hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 277 554 831 1108 1662 2216 3324 6648 319211 638422 957633 1276844 1915266 2553688 3830532 7661064 88421447 176842894 265264341 353685788 530528682 707371576 1061057364 2122114728