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2114210432 = 27291075323
BaseRepresentation
bin111111000000100…
…0100101010000000
312110100021000111002
41332001010222000
513312214213212
6545442511132
7103251330545
oct17601045200
95410230432
102114210432
11995464654
124b00654a8
13279024cb9
14160b08bcc
15c5922ac2
hex7e044a80

2114210432 has 64 divisors (see below), whose sum is σ = 4398688800. Its totient is φ = 1010924544.

The previous prime is 2114210429. The next prime is 2114210459. The reversal of 2114210432 is 2340124112.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394523 + ... + 399845.

Almost surely, 22114210432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199344400).

2114210432 is an abundant number, since it is smaller than the sum of its proper divisors (2284478368).

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

2114210432 is a wasteful number, since it uses less digits than its factorization.

2114210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2114210432 is about 45980.5440594171. The cubic root of 2114210432 is about 1283.4611792502.

Adding to 2114210432 its reverse (2340124112), we get a palindrome (4454334544).

The spelling of 2114210432 in words is "two billion, one hundred fourteen million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 128 214 232 428 464 856 928 1712 1856 3103 3424 3712 5323 6206 6848 10646 12412 13696 21292 24824 42584 49648 85168 99296 154367 170336 198592 308734 340672 397184 569561 617468 681344 1139122 1234936 2278244 2469872 4556488 4939744 9112976 9879488 16517269 18225952 19758976 33034538 36451904 66069076 72903808 132138152 264276304 528552608 1057105216 2114210432