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2332216140 = 2235471515477
BaseRepresentation
bin1000101100000010…
…1100101101001100
320000112110212002120
42023000230231030
514234021404030
61023231252540
7111536336652
oct21300545514
96015425076
102332216140
11a97525561
1255107a150
132b2244a67
14181a56dd2
15d9b37010
hex8b02cb4c

2332216140 has 96 divisors (see below), whose sum is σ = 6714537984. Its totient is φ = 604550400.

The previous prime is 2332216099. The next prime is 2332216141. The reversal of 2332216140 is 416122332.

It is a self number, because there is not a number n which added to its sum of digits gives 2332216140.

It is not an unprimeable number, because it can be changed into a prime (2332216141) 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 31 ways as a sum of consecutive naturals, for example, 423082 + ... + 428558.

It is an arithmetic number, because the mean of its divisors is an integer number (69943104).

Almost surely, 22332216140 is an apocalyptic number.

2332216140 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 2332216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357268992).

2332216140 is an abundant number, since it is smaller than the sum of its proper divisors (4382321844).

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

2332216140 is a wasteful number, since it uses less digits than its factorization.

2332216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2332216140 is about 48293.0237197879. The cubic root of 2332216140 is about 1326.1406842582.

Adding to 2332216140 its reverse (416122332), we get a palindrome (2748338472).

The spelling of 2332216140 in words is "two billion, three hundred thirty-two million, two hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 151 188 235 282 302 453 470 564 604 705 755 906 940 1410 1510 1812 2265 2820 3020 4530 5477 7097 9060 10954 14194 16431 21291 21908 27385 28388 32862 35485 42582 54770 65724 70970 82155 85164 106455 109540 141940 164310 212910 257419 328620 425820 514838 772257 827027 1029676 1287095 1544514 1654054 2481081 2574190 3089028 3308108 3861285 4135135 4962162 5148380 7722570 8270270 9924324 12405405 15445140 16540540 24810810 38870269 49621620 77740538 116610807 155481076 194351345 233221614 388702690 466443228 583054035 777405380 1166108070 2332216140