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224026871768 = 23717330775323
BaseRepresentation
bin1101000010100100001…
…0101100011111011000
3210102020211002020022222
43100221002230133120
512132301334344033
6250525545203212
722120410663560
oct3205102543730
9712224066288
10224026871768
1187011368617
1237502190508
131818306666b
14abb3113da0
155c629c2598
hex34290ac7d8

224026871768 has 64 divisors (see below), whose sum is σ = 484411656960. Its totient is φ = 95144340096.

The previous prime is 224026871759. The next prime is 224026871797. The reversal of 224026871768 is 867178620422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936555 + ... + 3011877.

It is an arithmetic number, because the mean of its divisors is an integer number (7568932140).

Almost surely, 2224026871768 is an apocalyptic number.

224026871768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

224026871768 is an abundant number, since it is smaller than the sum of its proper divisors (260384785192).

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

224026871768 is a wasteful number, since it uses less digits than its factorization.

224026871768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75816 (or 75812 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 224026871768 in words is "two hundred twenty-four billion, twenty-six million, eight hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 173 307 346 614 692 1211 1228 1384 2149 2422 2456 4298 4844 8596 9688 17192 53111 75323 106222 150646 212444 301292 371777 424888 527261 602584 743554 1054522 1487108 2109044 2974216 4218088 13030879 23124161 26061758 46248322 52123516 91216153 92496644 104247032 161869127 182432306 184993288 323738254 364864612 647476508 729729224 1294953016 4000479853 8000959706 16001919412 28003358971 32003838824 56006717942 112013435884 224026871768