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223051320 = 23345431601
BaseRepresentation
bin11010100101101…
…11111000111000
3120112201011220000
431102313320320
5424100120240
634044433000
75345622252
oct1522677070
9515634800
10223051320
111049a7838
1262848760
133729853b
14218a2cd2
15148ae430
hexd4b7e38

223051320 has 160 divisors (see below), whose sum is σ = 767614320. Its totient is φ = 58060800.

The previous prime is 223051289. The next prime is 223051321. The reversal of 223051320 is 23150322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223051293 and 223051302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223051321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138520 + ... + 140120.

Almost surely, 2223051320 is an apocalyptic number.

223051320 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 223051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383807160).

223051320 is an abundant number, since it is smaller than the sum of its proper divisors (544563000).

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

223051320 is a wasteful number, since it uses less digits than its factorization.

223051320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223051320 is about 14934.9027449127. The cubic root of 223051320 is about 606.4592147163.

The spelling of 223051320 in words is "two hundred twenty-three million, fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 162 172 180 215 216 258 270 324 344 360 387 405 430 516 540 645 648 774 810 860 1032 1080 1161 1290 1548 1601 1620 1720 1935 2322 2580 3096 3202 3240 3483 3870 4644 4803 5160 5805 6404 6966 7740 8005 9288 9606 11610 12808 13932 14409 15480 16010 17415 19212 23220 24015 27864 28818 32020 34830 38424 43227 46440 48030 57636 64040 68843 69660 72045 86454 96060 115272 129681 137686 139320 144090 172908 192120 206529 216135 259362 275372 288180 344215 345816 413058 432270 518724 550744 576360 619587 648405 688430 826116 864540 1032645 1037448 1239174 1296810 1376860 1652232 1729080 1858761 2065290 2478348 2593620 2753720 3097935 3717522 4130580 4956696 5187240 5576283 6195870 7435044 8261160 9293805 11152566 12391740 14870088 18587610 22305132 24783480 27881415 37175220 44610264 55762830 74350440 111525660 223051320