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2159148288 = 283111311951
BaseRepresentation
bin1000000010110001…
…1111110100000000
312120110211002122010
42000230133310000
513410220221123
6554130012520
7104335312653
oct20054376400
95513732563
102159148288
11a08868080
12503117140
1328542a24b
14166a8589a
15c984c993
hex80b1fd00

2159148288 has 144 divisors (see below), whose sum is σ = 6319982592. Its totient is φ = 648960000.

The previous prime is 2159148263. The next prime is 2159148331. The reversal of 2159148288 is 8828419512.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1105713 + ... + 1107663.

It is an arithmetic number, because the mean of its divisors is an integer number (43888768).

Almost surely, 22159148288 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 2159148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159991296).

2159148288 is an abundant number, since it is smaller than the sum of its proper divisors (4160834304).

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

2159148288 is a wasteful number, since it uses less digits than its factorization.

2159148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2098 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 2159148288 is about 46466.6362888471. The cubic root of 2159148288 is about 1292.4908881753.

It can be divided in two parts, 215 and 9148288, that added together give a triangular number (9148503 = T4277).

The spelling of 2159148288 in words is "two billion, one hundred fifty-nine million, one hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 524 528 704 768 786 1048 1056 1408 1441 1572 1951 2096 2112 2816 2882 3144 3902 4192 4224 4323 5764 5853 6288 7804 8384 8448 8646 11528 11706 12576 15608 16768 17292 21461 23056 23412 25152 31216 33536 34584 42922 46112 46824 50304 62432 64383 69168 85844 92224 93648 100608 124864 128766 138336 171688 184448 187296 249728 255581 257532 276672 343376 368896 374592 499456 511162 515064 553344 686752 749184 766743 1022324 1030128 1106688 1373504 1498368 1533486 2044648 2060256 2747008 2811391 3066972 4089296 4120512 5494016 5622782 6133944 8178592 8241024 8434173 11245564 12267888 16357184 16482048 16868346 22491128 24535776 32714368 33736692 44982256 49071552 65428736 67473384 89964512 98143104 134946768 179929024 196286208 269893536 359858048 539787072 719716096 1079574144 2159148288