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2193457320 = 23345676993
BaseRepresentation
bin1000001010111101…
…1000000010101000
312122212101011210000
42002233120002220
513443011113240
61001353223000
7105233036205
oct20257300250
95585334700
102193457320
11a26170a4a
12512701a60
1328c580652
1416b456cac
15cc878430
hex82bd80a8

2193457320 has 80 divisors (see below), whose sum is σ = 7372464660. Its totient is φ = 584921088.

The previous prime is 2193457309. The next prime is 2193457327. The reversal of 2193457320 is 237543912.

It can be written as a sum of positive squares in 2 ways, for example, as 2188555524 + 4901796 = 46782^2 + 2214^2 .

It is a super-2 number, since 2×21934573202 = 9622510029323164800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2193457327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 335257 + ... + 341736.

Almost surely, 22193457320 is an apocalyptic number.

2193457320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2193457320 is an abundant number, since it is smaller than the sum of its proper divisors (5179007340).

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

2193457320 is a wasteful number, since it uses less digits than its factorization.

2193457320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677016 (or 677003 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2193457320 is about 46834.3604632325. The cubic root of 2193457320 is about 1299.3008706297.

The spelling of 2193457320 in words is "two billion, one hundred ninety-three million, four hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 676993 1353986 2030979 2707972 3384965 4061958 5415944 6092937 6769930 8123916 10154895 12185874 13539860 16247832 18278811 20309790 24371748 27079720 30464685 36557622 40619580 48743496 54836433 60929370 73115244 81239160 91394055 109672866 121858740 146230488 182788110 219345732 243717480 274182165 365576220 438691464 548364330 731152440 1096728660 2193457320