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2114301240 = 2332597191317
BaseRepresentation
bin111111000000101…
…1010110100111000
312110100102122001100
41332001122310320
513312230114430
6545444451400
7103252156362
oct17601326470
95410378040
102114301240
119955168a7
124b00a9b60
1327905742c
14160b2dd32
15c593e960
hex7e05ad38

2114301240 has 192 divisors, whose sum is σ = 7000680960. Its totient is φ = 553328640.

The previous prime is 2114301229. The next prime is 2114301257. The reversal of 2114301240 is 421034112.

2114301240 is a `hidden beast` number, since 211 + 430 + 1 + 24 + 0 = 666.

2114301240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6669562 + ... + 6669878.

It is an arithmetic number, because the mean of its divisors is an integer number (36461880).

Almost surely, 22114301240 is an apocalyptic number.

2114301240 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 2114301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500340480).

2114301240 is an abundant number, since it is smaller than the sum of its proper divisors (4886379720).

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

2114301240 is a wasteful number, since it uses less digits than its factorization.

2114301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

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

The square root of 2114301240 is about 45981.5315099443. The cubic root of 2114301240 is about 1283.4795544117.

Adding to 2114301240 its reverse (421034112), we get a palindrome (2535335352).

The spelling of 2114301240 in words is "two billion, one hundred fourteen million, three hundred one thousand, two hundred forty".