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193218240 = 2635414909
BaseRepresentation
bin10111000010001…
…00011011000000
3111110120111121010
423201010123000
5343430440430
631101200520
74534220325
oct1341043300
9443514533
10193218240
119a0807a6
1254860140
1331051527
141b938b4c
1511e69cb0
hexb8446c0

193218240 has 112 divisors (see below), whose sum is σ = 628558560. Its totient is φ = 50257920.

The previous prime is 193218227. The next prime is 193218247. The reversal of 193218240 is 42812391.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 193218198 and 193218207.

It is not an unprimeable number, because it can be changed into a prime (193218247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36906 + ... + 41814.

It is an arithmetic number, because the mean of its divisors is an integer number (5612130).

Almost surely, 2193218240 is an apocalyptic number.

193218240 is a gapful number since it is divisible by the number (10) 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 193218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314279280).

193218240 is an abundant number, since it is smaller than the sum of its proper divisors (435340320).

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

193218240 is a wasteful number, since it uses less digits than its factorization.

193218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 193218240 is about 13900.2963997175. The cubic root of 193218240 is about 578.1173997150.

The spelling of 193218240 in words is "one hundred ninety-three million, two hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4909 4920 6560 7872 9818 9840 13120 14727 19636 19680 24545 29454 39272 39360 49090 58908 73635 78544 98180 117816 147270 157088 196360 201269 235632 294540 314176 392720 402538 471264 589080 603807 785440 805076 942528 1006345 1178160 1207614 1570880 1610152 2012690 2356320 2415228 3019035 3220304 4025380 4712640 4830456 6038070 6440608 8050760 9660912 12076140 12881216 16101520 19321824 24152280 32203040 38643648 48304560 64406080 96609120 193218240