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223702864 = 24711217971
BaseRepresentation
bin11010101010101…
…10111101010000
3120120221021122021
431111112331100
5424231442424
634110421224
75354304640
oct1525267520
9516837567
10223702864
11105302300
1262b01814
1337465c78
14219d2520
151498c4e4
hexd556f50

223702864 has 120 divisors (see below), whose sum is σ = 577088064. Its totient is φ = 81945600.

The previous prime is 223702861. The next prime is 223702873. The reversal of 223702864 is 468207322.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223702861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229899 + ... + 230869.

Almost surely, 2223702864 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 223702864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288544032).

223702864 is an abundant number, since it is smaller than the sum of its proper divisors (353385200).

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

223702864 is a wasteful number, since it uses less digits than its factorization.

223702864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 223702864 is about 14956.6996359491. The cubic root of 223702864 is about 607.0491398653.

The spelling of 223702864 in words is "two hundred twenty-three million, seven hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 121 136 154 176 187 238 242 272 308 374 476 484 616 748 847 952 968 971 1232 1309 1496 1694 1904 1936 1942 2057 2618 2992 3388 3884 4114 5236 6776 6797 7768 8228 10472 10681 13552 13594 14399 15536 16456 16507 20944 21362 27188 28798 32912 33014 42724 54376 57596 66028 74767 85448 108752 115192 115549 117491 132056 149534 170896 181577 230384 231098 234982 264112 299068 363154 462196 469964 598136 726308 822437 924392 939928 1196272 1271039 1452616 1644874 1848784 1879856 1997347 2542078 2905232 3289748 3994694 5084156 6579496 7989388 10168312 13158992 13981429 15978776 20336624 27962858 31957552 55925716 111851432 223702864