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2193742320 = 2435711118709
BaseRepresentation
bin1000001011000001…
…1101100111110000
312122212220122201120
42002300131213300
513443044223240
61001403302240
7105235334130
oct20260354760
95585818646
102193742320
11a26346090
1251281a980
1328c6502a3
1416b4ccac0
15cc8d2ad0
hex82c1d9f0

2193742320 has 160 divisors (see below), whose sum is σ = 8478743040. Its totient is φ = 455838720.

The previous prime is 2193742319. The next prime is 2193742333. The reversal of 2193742320 is 232473912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40875 + ... + 77834.

It is an arithmetic number, because the mean of its divisors is an integer number (52992144).

Almost surely, 22193742320 is an apocalyptic number.

2193742320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2193742320 is an abundant number, since it is smaller than the sum of its proper divisors (6285000720).

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

2193742320 is a wasteful number, since it uses less digits than its factorization.

2193742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118743 (or 118737 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2193742320 is about 46837.4030023015. The cubic root of 2193742320 is about 1299.3571417210.

The spelling of 2193742320 in words is "two billion, one hundred ninety-three million, seven hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 118709 237418 356127 474836 593545 712254 830963 949672 1187090 1305799 1424508 1661926 1780635 1899344 2374180 2492889 2611598 2849016 3323852 3561270 3917397 4154815 4748360 4985778 5223196 5698032 6528995 6647704 7122540 7834794 8309630 9140593 9496720 9971556 10446392 12464445 13057990 13295408 14245080 15669588 16619260 18281186 19586985 19943112 20892784 24928890 26115980 27421779 28490160 31339176 33238520 36562372 39173970 39886224 45702965 49857780 52231960 54843558 62678352 66477040 73124744 78347940 91405930 99715560 104463920 109687116 137108895 146249488 156695880 182811860 199431120 219374232 274217790 313391760 365623720 438748464 548435580 731247440 1096871160 2193742320