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2114190336 = 21031275419
BaseRepresentation
bin111111000000011…
…1111110000000000
312110100012222220210
41332000333300000
513312213042321
6545442234120
7103251215136
oct17600776000
95410188823
102114190336
11995450545
124b0055940
13279018acb
14160b01756
15c591bb76
hex7e03fc00

2114190336 has 88 divisors (see below), whose sum is σ = 5680506880. Its totient is φ = 699052032.

The previous prime is 2114190313. The next prime is 2114190341. The reversal of 2114190336 is 6330914112.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387435 + ... + 392853.

Almost surely, 22114190336 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 2114190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840253440).

2114190336 is an abundant number, since it is smaller than the sum of its proper divisors (3566316544).

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

2114190336 is a wasteful number, since it uses less digits than its factorization.

2114190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2114190336 is about 45980.3255316880. The cubic root of 2114190336 is about 1283.4571127175.

The spelling of 2114190336 in words is "two billion, one hundred fourteen million, one hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 3048 3072 4064 5419 6096 8128 10838 12192 16256 16257 21676 24384 32512 32514 43352 48768 65024 65028 86704 97536 130048 130056 173408 195072 260112 346816 390144 520224 688213 693632 1040448 1376426 1387264 2064639 2080896 2752852 2774528 4129278 4161792 5505704 5549056 8258556 8323584 11011408 16517112 16647168 22022816 33034224 44045632 66068448 88091264 132136896 176182528 264273792 352365056 528547584 704730112 1057095168 2114190336