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223051152 = 243174159113
BaseRepresentation
bin11010100101101…
…11110110010000
3120112201011122210
431102313312100
5424100114102
634044432120
75345621622
oct1522676620
9515634583
10223051152
111049a76a5
1262848640
133729843c
14218a2c12
15148ae36c
hexd4b7d90

223051152 has 160 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 66519040.

The previous prime is 223051123. The next prime is 223051159. The reversal of 223051152 is 251150322.

It is not an unprimeable number, because it can be changed into a prime (223051159) 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, 1973848 + ... + 1973960.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2223051152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

223051152 is an abundant number, since it is smaller than the sum of its proper divisors (418157808).

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

223051152 is a wasteful number, since it uses less digits than its factorization.

223051152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 223051152 is about 14934.8971205027. The cubic root of 223051152 is about 606.4590624566.

The spelling of 223051152 in words is "two hundred twenty-three million, fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 59 68 82 102 113 118 123 136 164 177 204 226 236 246 272 328 339 354 408 452 472 492 656 678 697 708 816 904 944 984 1003 1356 1394 1416 1808 1921 1968 2006 2091 2419 2712 2788 2832 3009 3842 4012 4182 4633 4838 5424 5576 5763 6018 6667 7257 7684 8024 8364 9266 9676 11152 11526 12036 13334 13899 14514 15368 16048 16728 18532 19352 20001 23052 24072 26668 27798 29028 30736 33456 37064 38704 40002 41123 46104 48144 53336 55596 58056 74128 78761 80004 82246 92208 106672 111192 113339 116112 123369 157522 160008 164492 222384 226678 236283 246738 273347 315044 320016 328984 340017 453356 472566 493476 546694 630088 657968 680034 820041 906712 945132 986952 1093388 1260176 1360068 1640082 1813424 1890264 1973904 2186776 2720136 3280164 3780528 4373552 4646899 5440272 6560328 9293798 13120656 13940697 18587596 27881394 37175192 55762788 74350384 111525576 223051152