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223678823552 = 2717224592
BaseRepresentation
bin1101000001010001001…
…0111111110010000000
3210101100120011112221022
43100110102333302000
512131043234323202
6250431233245012
722105653426002
oct3202422776200
9711316145838
10223678823552
1186952956868
1237425703768
1318128c14982
14ab7cbd4372
155c42171ea2
hex34144bfc80

223678823552 has 72 divisors (see below), whose sum is σ = 473557003185. Its totient is φ = 105217816576.

The previous prime is 223678823531. The next prime is 223678823561. The reversal of 223678823552 is 255328876322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 204716431936 + 18962391616 = 452456^2 + 137704^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334424.

It is a super-2 number, since 2×2236788235522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223678823494 and 223678823503.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90962099 + ... + 90964557.

Almost surely, 2223678823552 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 223678823552

223678823552 is an abundant number, since it is smaller than the sum of its proper divisors (249878179633).

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

223678823552 is an frugal number, since it uses more digits than its factorization.

223678823552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 2478 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 53.

The spelling of 223678823552 in words is "two hundred twenty-three billion, six hundred seventy-eight million, eight hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 2459 4624 4918 9248 9836 18496 19672 36992 39344 41803 78688 83606 157376 167212 314752 334424 668848 710651 1337696 1421302 2675392 2842604 5350784 5685208 6046681 11370416 12093362 22740832 24186724 45481664 48373448 90963328 96746896 102793577 193493792 205587154 386987584 411174308 773975168 822348616 1644697232 1747490809 3289394464 3494981618 6578788928 6989963236 13157577856 13979926472 27959852944 55919705888 111839411776 223678823552