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223153152 = 2103174273
BaseRepresentation
bin11010100110100…
…00110000000000
3120112220100120120
431103100300000
5424111400102
634050540240
75346525165
oct1523206000
9515810516
10223153152
11104a672a2
1262897680
13373029b1
14218cc06c
15148ce6bc
hexd4d0c00

223153152 has 88 divisors (see below), whose sum is σ = 629919216. Its totient is φ = 69992448.

The previous prime is 223153127. The next prime is 223153207. The reversal of 223153152 is 251351322.

It is a happy number.

223153152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231531523 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50088 + ... + 54360.

Almost surely, 2223153152 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 223153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314959608).

223153152 is an abundant number, since it is smaller than the sum of its proper divisors (406766064).

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

223153152 is a wasteful number, since it uses less digits than its factorization.

223153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4295 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 223153152 is about 14938.3115511761. The cubic root of 223153152 is about 606.5514917746.

The spelling of 223153152 in words is "two hundred twenty-three million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4273 4352 6528 8546 8704 12819 13056 17092 17408 25638 26112 34184 51276 52224 68368 72641 102552 136736 145282 205104 217923 273472 290564 410208 435846 546944 581128 820416 871692 1093888 1162256 1640832 1743384 2187776 2324512 3281664 3486768 4375552 4649024 6563328 6973536 9298048 13126656 13947072 18596096 27894144 37192192 55788288 74384384 111576576 223153152