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2151666160 = 245715724473
BaseRepresentation
bin1000000000111111…
…1101000111110000
312112221201222002021
42000033331013300
513401311304120
6553301401224
7104214601120
oct20017750760
95487658067
102151666160
11a046176a6
12500709214
13283a0a757
14165a98c80
15c8d70aaa
hex803fd1f0

2151666160 has 80 divisors (see below), whose sum is σ = 5753935296. Its totient is φ = 732985344.

The previous prime is 2151666133. The next prime is 2151666173. The reversal of 2151666160 is 616661512.

It is a happy number.

2151666160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 75684 + ... + 100156.

Almost surely, 22151666160 is an apocalyptic number.

2151666160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876967648).

2151666160 is an abundant number, since it is smaller than the sum of its proper divisors (3602269136).

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

2151666160 is a wasteful number, since it uses less digits than its factorization.

2151666160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24650 (or 24644 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2151666160 is about 46386.0556633133. The cubic root of 2151666160 is about 1290.9961978215.

The spelling of 2151666160 in words is "two billion, one hundred fifty-one million, six hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 4396 5495 6280 8792 10990 12560 17584 21980 24473 43960 48946 87920 97892 122365 171311 195784 244730 342622 391568 489460 685244 856555 978920 1370488 1713110 1957840 2740976 3426220 3842261 6852440 7684522 13704880 15369044 19211305 26895827 30738088 38422610 53791654 61476176 76845220 107583308 134479135 153690440 215166616 268958270 307380880 430333232 537916540 1075833080 2151666160