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223897128 = 233713313307
BaseRepresentation
bin11010101100001…
…10011000101000
3120121022011010020
431112012120220
5424304202003
634114520440
75356044210
oct1526063050
9517264106
10223897128
11105425254
1262b96120
1337503510
1421a43240
15149c9d53
hexd586628

223897128 has 128 divisors (see below), whose sum is σ = 711352320. Its totient is φ = 57127680.

The previous prime is 223897127. The next prime is 223897189. The reversal of 223897128 is 821798322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 223897128.

It is not an unprimeable number, because it can be changed into a prime (223897127) 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, 66051 + ... + 69357.

It is an arithmetic number, because the mean of its divisors is an integer number (5557440).

Almost surely, 2223897128 is an apocalyptic number.

223897128 is a gapful number since it is divisible by the number (28) 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 223897128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355676160).

223897128 is an abundant number, since it is smaller than the sum of its proper divisors (487455192).

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

223897128 is a wasteful number, since it uses less digits than its factorization.

223897128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3363 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 223897128 is about 14963.1924401179. The cubic root of 223897128 is about 607.2248099070.

The spelling of 223897128 in words is "two hundred twenty-three million, eight hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 3307 4836 5208 5642 6614 8463 9672 9921 11284 13228 16926 19842 22568 23149 26456 33852 39684 42991 46298 67704 69447 79368 85982 92596 102517 128973 138894 171964 185192 205034 257946 277788 300937 307551 343928 410068 515892 555576 601874 615102 717619 820136 902811 1031784 1203748 1230204 1332721 1435238 1805622 2152857 2407496 2460408 2665442 2870476 3611244 3998163 4305714 5330884 5740952 7222488 7996326 8611428 9329047 10661768 15992652 17222856 18658094 27987141 31985304 37316188 55974282 74632376 111948564 223897128