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223058640 = 24357314283
BaseRepresentation
bin11010100101110…
…01101011010000
3120112201112221010
431102321223100
5424100334030
634044530520
75345652510
oct1522715320
9515645833
10223058640
11104a02292
1262850a40
133729b97c
14218a5840
15148b16b0
hexd4b9ad0

223058640 has 160 divisors (see below), whose sum is σ = 815947776. Its totient is φ = 49328640.

The previous prime is 223058579. The next prime is 223058657. The reversal of 223058640 is 46850322.

223058640 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 223058598 and 223058607.

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, 49939 + ... + 54221.

Almost surely, 2223058640 is an apocalyptic number.

223058640 is a gapful number since it is divisible by the number (20) 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 223058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407973888).

223058640 is an abundant number, since it is smaller than the sum of its proper divisors (592889136).

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

223058640 is a wasteful number, since it uses less digits than its factorization.

223058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 223058640 is about 14935.1478064330. The cubic root of 223058640 is about 606.4658488142.

The spelling of 223058640 in words is "two hundred twenty-three million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4283 4340 5208 6510 7440 8566 8680 10416 12849 13020 17132 17360 21415 25698 26040 29981 34264 42830 51396 52080 59962 64245 68528 85660 89943 102792 119924 128490 132773 149905 171320 179886 205584 239848 256980 265546 299810 342640 359772 398319 449715 479696 513960 531092 599620 663865 719544 796638 899430 929411 1027920 1062184 1199240 1327730 1439088 1593276 1798860 1858822 1991595 2124368 2398480 2655460 2788233 3186552 3597720 3717644 3983190 4647055 5310920 5576466 6373104 7195440 7435288 7966380 9294110 10621840 11152932 13941165 14870576 15932760 18588220 22305864 27882330 31865520 37176440 44611728 55764660 74352880 111529320 223058640