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2114355540 = 2235113203569
BaseRepresentation
bin111111000000110…
…1000000101010100
312110100112101112110
41332001220011110
513312233334130
6545445551020
7103252503603
oct17601500524
95410471473
102114355540
11995553680
124b0115470
1327907606b
14160b45a3a
15c5950ab0
hex7e068154

2114355540 has 48 divisors (see below), whose sum is σ = 6458397120. Its totient is φ = 512570880.

The previous prime is 2114355487. The next prime is 2114355571. The reversal of 2114355540 is 455534112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2114355498 and 2114355507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601125 + ... + 1602444.

It is an arithmetic number, because the mean of its divisors is an integer number (134549940).

Almost surely, 22114355540 is an apocalyptic number.

2114355540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114355540 is an abundant number, since it is smaller than the sum of its proper divisors (4344041580).

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

2114355540 is a wasteful number, since it uses less digits than its factorization.

2114355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203592 (or 3203590 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2114355540 is about 45982.1219606055. The cubic root of 2114355540 is about 1283.4905418626.

Adding to 2114355540 its reverse (455534112), we get a palindrome (2569889652).

The spelling of 2114355540 in words is "two billion, one hundred fourteen million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3203569 6407138 9610707 12814276 16017845 19221414 32035690 35239259 38442828 48053535 64071380 70478518 96107070 105717777 140957036 176196295 192214140 211435554 352392590 422871108 528588885 704785180 1057177770 2114355540