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2193418440 = 23345676981
BaseRepresentation
bin1000001010111100…
…1110100011001000
312122212022012110000
42002233032203020
513443003342230
61001352323000
7105232514643
oct20257164310
95585265400
102193418440
11a26144814
125126a3460
1328c568a45
1416b446a5a
15cc86bb60
hex82bce8c8

2193418440 has 80 divisors (see below), whose sum is σ = 7372333980. Its totient is φ = 584910720.

The previous prime is 2193418427. The next prime is 2193418441. The reversal of 2193418440 is 448143912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2151660996 + 41757444 = 46386^2 + 6462^2 .

It is a super-2 number, since 2×21934184402 = 9622168905864067200, which contains 22 as substring.

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 = 2193418395 and 2193418404.

It is not an unprimeable number, because it can be changed into a prime (2193418441) 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, 335251 + ... + 341730.

Almost surely, 22193418440 is an apocalyptic number.

2193418440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2193418440 is an abundant number, since it is smaller than the sum of its proper divisors (5178915540).

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

2193418440 is a wasteful number, since it uses less digits than its factorization.

2193418440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677004 (or 676991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2193418440 is about 46833.9453815286. The cubic root of 2193418440 is about 1299.2931936903.

The spelling of 2193418440 in words is "two billion, one hundred ninety-three million, four hundred eighteen thousand, four hundred forty".

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 676981 1353962 2030943 2707924 3384905 4061886 5415848 6092829 6769810 8123772 10154715 12185658 13539620 16247544 18278487 20309430 24371316 27079240 30464145 36556974 40618860 48742632 54835461 60928290 73113948 81237720 91392435 109670922 121856580 146227896 182784870 219341844 243713160 274177305 365569740 438683688 548354610 731139480 1096709220 2193418440