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2331221640 = 23351111315629
BaseRepresentation
bin1000101011110011…
…1001111010001000
320000110121022220020
42022330321322020
514233243043030
61023154100440
7111525025356
oct21274717210
96013538806
102331221640
11a96a06360
1255087a720
132b1c871b7
141818787d6
15d99dc510
hex8af39e88

2331221640 has 128 divisors (see below), whose sum is σ = 7697462400. Its totient is φ = 560107520.

The previous prime is 2331221623. The next prime is 2331221647. The reversal of 2331221640 is 461221332.

2331221640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2331221640.

It is not an unprimeable number, because it can be changed into a prime (2331221647) 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, 141346 + ... + 156974.

It is an arithmetic number, because the mean of its divisors is an integer number (60136425).

Almost surely, 22331221640 is an apocalyptic number.

2331221640 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 2331221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848731200).

2331221640 is an abundant number, since it is smaller than the sum of its proper divisors (5366240760).

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

2331221640 is a wasteful number, since it uses less digits than its factorization.

2331221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767 (or 15763 counting only the distinct ones).

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

The square root of 2331221640 is about 48282.7261036491. The cubic root of 2331221640 is about 1325.9521605057.

Adding to 2331221640 its reverse (461221332), we get a palindrome (2792442972).

The spelling of 2331221640 in words is "two billion, three hundred thirty-one million, two hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 165 220 226 264 330 339 440 452 565 660 678 904 1130 1243 1320 1356 1695 2260 2486 2712 3390 3729 4520 4972 6215 6780 7458 9944 12430 13560 14916 15629 18645 24860 29832 31258 37290 46887 49720 62516 74580 78145 93774 125032 149160 156290 171919 187548 234435 312580 343838 375096 468870 515757 625160 687676 859595 937740 1031514 1375352 1719190 1766077 1875480 2063028 2578785 3438380 3532154 4126056 5157570 5298231 6876760 7064308 8830385 10315140 10596462 14128616 17660770 19426847 20630280 21192924 26491155 35321540 38853694 42385848 52982310 58280541 70643080 77707388 97134235 105964620 116561082 155414776 194268470 211929240 233122164 291402705 388536940 466244328 582805410 777073880 1165610820 2331221640