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2114355140 = 225306134537
BaseRepresentation
bin111111000000110…
…0111111111000100
312110100112100222122
41332001213333010
513312233331030
6545445545112
7103252502462
oct17601477704
95410470878
102114355140
11995553347
124b0115198
13279075b21
14160b45832
15c59508e5
hex7e067fc4

2114355140 has 24 divisors (see below), whose sum is σ = 4441724952. Its totient is φ = 845441280.

The previous prime is 2114355101. The next prime is 2114355149. The reversal of 2114355140 is 415534112.

It can be written as a sum of positive squares in 4 ways, for example, as 357739396 + 1756615744 = 18914^2 + 41912^2 .

It is not an unprimeable number, because it can be changed into a prime (2114355149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43952 + ... + 78488.

It is an arithmetic number, because the mean of its divisors is an integer number (185071873).

Almost surely, 22114355140 is an apocalyptic number.

2114355140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114355140 is an abundant number, since it is smaller than the sum of its proper divisors (2327369812).

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

2114355140 is a wasteful number, since it uses less digits than its factorization.

2114355140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37607 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2114355140 is about 45982.1176110888. The cubic root of 2114355140 is about 1283.4904609244.

Adding to 2114355140 its reverse (415534112), we get a palindrome (2529889252).

The spelling of 2114355140 in words is "two billion, one hundred fourteen million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 3061 6122 12244 15305 30610 34537 61220 69074 138148 172685 345370 690740 105717757 211435514 422871028 528588785 1057177570 2114355140