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2209068960 = 25357293923
BaseRepresentation
bin1000001110101011…
…1011011110100000
312200221202022220220
42003222323132200
514011010201320
61003112003040
7105512530200
oct20352733640
95627668826
102209068960
11a33a6422a
12517990480
132928884c7
1416d55c400
15cde0de40
hex83abb7a0

2209068960 has 144 divisors (see below), whose sum is σ = 8094746016. Its totient is φ = 504924672.

The previous prime is 2209068947. The next prime is 2209068977. The reversal of 2209068960 is 698609022.

2209068960 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 (42).

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, 23442 + ... + 70481.

It is an arithmetic number, because the mean of its divisors is an integer number (56213514).

Almost surely, 22209068960 is an apocalyptic number.

2209068960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2209068960 is an abundant number, since it is smaller than the sum of its proper divisors (5885677056).

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

2209068960 is a wasteful number, since it uses less digits than its factorization.

2209068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93955 (or 93940 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2209068960 is about 47000.7336112959. The cubic root of 2209068960 is about 1302.3761198023.

The spelling of 2209068960 in words is "two billion, two hundred nine million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 93923 187846 281769 375692 469615 563538 657461 751384 939230 1127076 1314922 1408845 1502768 1878460 1972383 2254152 2629844 2817690 3005536 3287305 3756920 3944766 4508304 4602227 5259688 5635380 6574610 7513840 7889532 9016608 9204454 9861915 10519376 11270760 13149220 13806681 15027680 15779064 18408908 19723830 21038752 22541520 23011135 26298440 27613362 31558128 36817816 39447660 45083040 46022270 52596880 55226724 63116256 69033405 73635632 78895320 92044540 105193760 110453448 138066810 147271264 157790640 184089080 220906896 276133620 315581280 368178160 441813792 552267240 736356320 1104534480 2209068960