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223161480 = 233752551
BaseRepresentation
bin11010100110100…
…10110010001000
3120112220210000000
431103102302020
5424112131410
634051043000
75346561363
oct1523226210
9515823000
10223161480
11104a72583
12628a0460
1337306719
14218d10da
15148d1dc0
hexd4d2c88

223161480 has 128 divisors (see below), whose sum is σ = 753350400. Its totient is φ = 59486400.

The previous prime is 223161469. The next prime is 223161481. The reversal of 223161480 is 84161322.

223161480 is a `hidden beast` number, since 2 + 23 + 161 + 480 = 666.

It is a super-3 number, since 3×2231614803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223161481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86205 + ... + 88755.

It is an arithmetic number, because the mean of its divisors is an integer number (5885550).

Almost surely, 2223161480 is an apocalyptic number.

223161480 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 223161480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376675200).

223161480 is an abundant number, since it is smaller than the sum of its proper divisors (530188920).

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

223161480 is an equidigital number, since it uses as much as digits as its factorization.

223161480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 223161480 is about 14938.5902949375. The cubic root of 223161480 is about 606.5590371127.

The spelling of 223161480 in words is "two hundred twenty-three million, one hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2551 2916 3240 3645 4374 4860 5102 5832 7290 7653 8748 9720 10204 10935 12755 14580 15306 17496 20408 21870 22959 25510 29160 30612 38265 43740 45918 51020 61224 68877 76530 87480 91836 102040 114795 137754 153060 183672 206631 229590 275508 306120 344385 413262 459180 551016 619893 688770 826524 918360 1033155 1239786 1377540 1653048 1859679 2066310 2479572 2755080 3099465 3719358 4132620 4959144 5579037 6198930 7438716 8265240 9298395 11158074 12397860 14877432 18596790 22316148 24795720 27895185 37193580 44632296 55790370 74387160 111580740 223161480