Search a number
-
+
2164237680 = 243511819787
BaseRepresentation
bin1000000011111111…
…1010010101110000
312120211101122222010
42000333322111300
513413021101210
6554431042520
7104426500563
oct20077722560
95524348863
102164237680
11a10723890
12504970440
132864bc917
1416760c4da
15ca005920
hex80ffa570

2164237680 has 80 divisors (see below), whose sum is σ = 7319067264. Its totient is φ = 524663040.

The previous prime is 2164237657. The next prime is 2164237703. The reversal of 2164237680 is 867324612.

It is a happy number.

2164237680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2164237657) and next prime (2164237703).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407254 + ... + 412533.

Almost surely, 22164237680 is an apocalyptic number.

2164237680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164237680 is an abundant number, since it is smaller than the sum of its proper divisors (5154829584).

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

2164237680 is a wasteful number, since it uses less digits than its factorization.

2164237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819814 (or 819808 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2164237680 is about 46521.3679936435. The cubic root of 2164237680 is about 1293.5056140878.

The spelling of 2164237680 in words is "two billion, one hundred sixty-four million, two hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 819787 1639574 2459361 3279148 4098935 4918722 6558296 8197870 9017657 9837444 12296805 13116592 16395740 18035314 19674888 24593610 27052971 32791480 36070628 39349776 45088285 49187220 54105942 65582960 72141256 90176570 98374440 108211884 135264855 144282512 180353140 196748880 216423768 270529710 360706280 432847536 541059420 721412560 1082118840 2164237680