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2114200620 = 22325731113479
BaseRepresentation
bin111111000000100…
…0010010000101100
312110100020112000200
41332001002100230
513312213404440
6545442353500
7103251260130
oct17601022054
95410215020
102114200620
11995458244
124b005b890
132790206ac
14160b053c0
15c591ec30
hex7e04242c

2114200620 has 288 divisors, whose sum is σ = 7648542720. Its totient is φ = 462551040.

The previous prime is 2114200573. The next prime is 2114200637. The reversal of 2114200620 is 260024112.

2114200620 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 0 + 0 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2114200593 and 2114200602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4413541 + ... + 4414019.

It is an arithmetic number, because the mean of its divisors is an integer number (26557440).

Almost surely, 22114200620 is an apocalyptic number.

2114200620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114200620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

2114200620 is an abundant number, since it is smaller than the sum of its proper divisors (5534342100).

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

2114200620 is a wasteful number, since it uses less digits than its factorization.

2114200620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114200620 is about 45980.4373619912. The cubic root of 2114200620 is about 1283.4591937429.

Adding to 2114200620 its reverse (260024112), we get a palindrome (2374224732).

The spelling of 2114200620 in words is "two billion, one hundred fourteen million, two hundred thousand, six hundred twenty".