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223632768348 = 223311188243071
BaseRepresentation
bin1101000001000110001…
…1010011110101011100
3210101020100111201002000
43100101203103311130
512130444442041343
6250422510202300
722104554111163
oct3202143236534
9711210451060
10223632768348
118692995a910
12374121b3390
131811c50ac82
14ab76a463da
155c3d0c5ed3
hex34118d3d5c

223632768348 has 48 divisors (see below), whose sum is σ = 632496721920. Its totient is φ = 67767505200.

The previous prime is 223632768241. The next prime is 223632768379. The reversal of 223632768348 is 843867236322.

223632768348 is a `hidden beast` number, since 2 + 2 + 363 + 276 + 8 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 223632768294 and 223632768303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94120348 + ... + 94122723.

It is an arithmetic number, because the mean of its divisors is an integer number (13177015040).

Almost surely, 2223632768348 is an apocalyptic number.

It is an amenable number.

223632768348 is an abundant number, since it is smaller than the sum of its proper divisors (408863953572).

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

223632768348 is a wasteful number, since it uses less digits than its factorization.

223632768348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188243095 (or 188243087 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 223632768348 in words is "two hundred twenty-three billion, six hundred thirty-two million, seven hundred sixty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 188243071 376486142 564729213 752972284 1129458426 1694187639 2070673781 2258916852 3388375278 4141347562 5082562917 6212021343 6776750556 8282695124 10165125834 12424042686 18636064029 20330251668 24848085372 37272128058 55908192087 74544256116 111816384174 223632768348