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2213158528 = 27710323981
BaseRepresentation
bin1000001111101010…
…0001111010000000
312201020110002202101
42003322201322000
514013032033103
61003335400144
7105562352140
oct20372417200
95636402671
102213158528
11a362a7839
12519223054
1329368aa79
1416dd04920
15ce46aa1d
hex83ea1e80

2213158528 has 64 divisors (see below), whose sum is σ = 5088021120. Its totient is φ = 939248640.

The previous prime is 2213158523. The next prime is 2213158531. The reversal of 2213158528 is 8258513122.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2213158523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80298 + ... + 104278.

It is an arithmetic number, because the mean of its divisors is an integer number (79500330).

Almost surely, 22213158528 is an apocalyptic number.

2213158528 is a gapful number since it is divisible by the number (28) 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 2213158528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544010560).

2213158528 is an abundant number, since it is smaller than the sum of its proper divisors (2874862592).

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

2213158528 is a wasteful number, since it uses less digits than its factorization.

2213158528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105 (or 24093 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 2213158528 is about 47044.2188584315. The cubic root of 2213158528 is about 1303.1793046841.

The spelling of 2213158528 in words is "two billion, two hundred thirteen million, one hundred fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 824 896 1442 1648 2884 3296 5768 6592 11536 13184 23072 23981 46144 47962 92288 95924 167867 191848 335734 383696 671468 767392 1342936 1534784 2470043 2685872 3069568 4940086 5371744 9880172 10743488 17290301 19760344 21486976 34580602 39520688 69161204 79041376 138322408 158082752 276644816 316165504 553289632 1106579264 2213158528