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2213839152 = 2432710321323
BaseRepresentation
bin1000001111110100…
…1000000100110000
312201021201200101200
42003331020010300
514013220323102
61003402131200
7105601215360
oct20375100460
95637650350
102213839152
11a36722138
125194b0b00
132938687c5
141700409a0
15ce55251c
hex83f48130

2213839152 has 120 divisors (see below), whose sum is σ = 7149851904. Its totient is φ = 626355072.

The previous prime is 2213839109. The next prime is 2213839193. The reversal of 2213839152 is 2519383122.

2213839152 is a `hidden beast` number, since 2 + 213 + 8 + 391 + 52 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93163 + ... + 114485.

Almost surely, 22213839152 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 2213839152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574925952).

2213839152 is an abundant number, since it is smaller than the sum of its proper divisors (4936012752).

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

2213839152 is a wasteful number, since it uses less digits than its factorization.

2213839152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21447 (or 21438 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2213839152 is about 47051.4521773771. The cubic root of 2213839152 is about 1303.3128821316.

The spelling of 2213839152 in words is "two billion, two hundred thirteen million, eight hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 4326 4944 5768 6489 7416 8652 11536 12978 14832 17304 21323 25956 34608 42646 51912 63969 85292 103824 127938 149261 170584 191907 255876 298522 341168 383814 447783 511752 597044 767628 895566 1023504 1194088 1343349 1535256 1791132 2196269 2388176 2686698 3070512 3582264 4392538 5373396 6588807 7164528 8785076 10746792 13177614 15373883 17570152 19766421 21493584 26355228 30747766 35140304 39532842 46121649 52710456 61495532 79065684 92243298 105420912 122991064 138364947 158131368 184486596 245982128 276729894 316262736 368973192 553459788 737946384 1106919576 2213839152