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2194921440 = 253253374523
BaseRepresentation
bin1000001011010011…
…1101011111100000
312122222010120011200
42002310331133200
513443344441230
61001444441200
7105251344605
oct20264753740
95588116150
102194921440
11a26a80a68
125130a9200
1328c973baa
1416b7186ac
15cca67160
hex82d3d7e0

2194921440 has 144 divisors (see below), whose sum is σ = 7514056368. Its totient is φ = 583446528.

The previous prime is 2194921423. The next prime is 2194921453. The reversal of 2194921440 is 441294912.

2194921440 is a `hidden beast` number, since 2 + 194 + 9 + 21 + 440 = 666.

2194921440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2194921395 and 2194921404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483019 + ... + 487541.

It is an arithmetic number, because the mean of its divisors is an integer number (52180947).

Almost surely, 22194921440 is an apocalyptic number.

2194921440 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 2194921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757028184).

2194921440 is an abundant number, since it is smaller than the sum of its proper divisors (5319134928).

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

2194921440 is a wasteful number, since it uses less digits than its factorization.

2194921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2194921440 is about 46849.9886872985. The cubic root of 2194921440 is about 1299.5898982551.

The spelling of 2194921440 in words is "two billion, one hundred ninety-four million, nine hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 337 360 480 674 720 1011 1348 1440 1685 2022 2696 3033 3370 4044 4523 5055 5392 6066 6740 8088 9046 10110 10784 12132 13480 13569 15165 16176 18092 20220 22615 24264 26960 27138 30330 32352 36184 40440 40707 45230 48528 53920 54276 60660 67845 72368 80880 81414 90460 97056 108552 121320 135690 144736 161760 162828 180920 203535 217104 242640 271380 325656 361840 407070 434208 485280 542760 651312 723680 814140 1085520 1302624 1524251 1628280 2171040 3048502 3256560 4572753 6097004 6513120 7621255 9145506 12194008 13718259 15242510 18291012 22863765 24388016 27436518 30485020 36582024 45727530 48776032 54873036 60970040 68591295 73164048 91455060 109746072 121940080 137182590 146328096 182910120 219492144 243880160 274365180 365820240 438984288 548730360 731640480 1097460720 2194921440