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2133331340 = 2257311493299
BaseRepresentation
bin111111100101000…
…0000110110001100
312111200020110102212
41333022000312030
513332113100330
6551404405552
7103603005620
oct17712006614
95450213385
102133331340
119a5234458
124b65468b8
1327cc8b24a
14163485180
15c744d295
hex7f280d8c

2133331340 has 96 divisors (see below), whose sum is σ = 5322240000. Its totient is φ = 702869760.

The previous prime is 2133331339. The next prime is 2133331349. The reversal of 2133331340 is 431333312.

It is a super-2 number, since 2×21333313402 = 9102205212452391200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133331349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645011 + ... + 648309.

It is an arithmetic number, because the mean of its divisors is an integer number (55440000).

Almost surely, 22133331340 is an apocalyptic number.

2133331340 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 2133331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120000).

2133331340 is an abundant number, since it is smaller than the sum of its proper divisors (3188908660).

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

2133331340 is a wasteful number, since it uses less digits than its factorization.

2133331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 2133331340 is about 46187.9999566987. Note that the first 4 decimals coincide. The cubic root of 2133331340 is about 1287.3187785278.

Adding to 2133331340 its reverse (431333312), we get a palindrome (2564664652).

The spelling of 2133331340 in words is "two billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 149 155 217 298 310 434 596 620 745 868 1043 1085 1490 2086 2170 2980 3299 4172 4340 4619 5215 6598 9238 10430 13196 16495 18476 20860 23093 23095 32333 32990 46186 46190 64666 65980 92372 92380 102269 115465 129332 161665 204538 230930 323330 409076 461860 491551 511345 646660 715883 983102 1022690 1431766 1966204 2045380 2457755 2863532 3440857 3579415 4915510 6881714 7158830 9831020 13763428 14317660 15238081 17204285 30476162 34408570 60952324 68817140 76190405 106666567 152380810 213333134 304761620 426666268 533332835 1066665670 2133331340