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2159339328 = 263222316811
BaseRepresentation
bin1000000010110100…
…1110011101000000
312120111011210200200
42000231032131000
513410242324303
6554134045200
7104340036636
oct20055163500
95514153620
102159339328
11a08988663
125031a9800
132854961a3
14166ad5356
15c98893a3
hex80b4e740

2159339328 has 84 divisors (see below), whose sum is σ = 6217481088. Its totient is φ = 716509440.

The previous prime is 2159339327. The next prime is 2159339363. The reversal of 2159339328 is 8239339512.

2159339328 is a `hidden beast` number, since 2 + 1 + 593 + 39 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159339323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120043 + ... + 136853.

It is an arithmetic number, because the mean of its divisors is an integer number (74017632).

Almost surely, 22159339328 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 2159339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108740544).

2159339328 is an abundant number, since it is smaller than the sum of its proper divisors (4058141760).

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

2159339328 is a wasteful number, since it uses less digits than its factorization.

2159339328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17052 (or 17039 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2159339328 is about 46468.6919118669. The cubic root of 2159339328 is about 1292.5290066283.

The spelling of 2159339328 in words is "two billion, one hundred fifty-nine million, three hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 14272 16056 16811 21408 32112 33622 42816 50433 64224 67244 100866 128448 134488 151299 201732 268976 302598 403464 537952 605196 806928 1075904 1210392 1613856 2420784 3227712 3748853 4841568 7497706 9683136 11246559 14995412 22493118 29990824 33739677 44986236 59981648 67479354 89972472 119963296 134958708 179944944 239926592 269917416 359889888 539834832 719779776 1079669664 2159339328