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223861000 = 23531147433
BaseRepresentation
bin11010101011111…
…01100100001000
3120121020022120011
431111331210020
5424302023000
634114041304
75355533656
oct1525754410
9517208504
10223861000
111054000a0
1262b79234
13374bcc3c
1421a33dd6
15149be2ba
hexd57d908

223861000 has 128 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 79488000.

The previous prime is 223860991. The next prime is 223861007. The reversal of 223861000 is 168322.

223861000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2238610002 = 100227494642000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (223861007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516784 + ... + 517216.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2223861000 is an apocalyptic number.

223861000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

223861000 is an abundant number, since it is smaller than the sum of its proper divisors (361101560).

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

223861000 is a wasteful number, since it uses less digits than its factorization.

223861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 223861000 is about 14961.9851624041. The cubic root of 223861000 is about 607.1921475883.

The spelling of 223861000 in words is "two hundred twenty-three million, eight hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 433 440 470 500 517 550 866 940 1000 1034 1100 1175 1375 1732 1880 2068 2165 2200 2350 2585 2750 3464 4136 4330 4700 4763 5170 5500 5875 8660 9400 9526 10340 10825 11000 11750 12925 17320 19052 20351 20680 21650 23500 23815 25850 38104 40702 43300 47000 47630 51700 54125 64625 81404 86600 95260 101755 103400 108250 119075 129250 162808 190520 203510 216500 223861 238150 258500 407020 433000 447722 476300 508775 517000 595375 814040 895444 952600 1017550 1119305 1190750 1790888 2035100 2238610 2381500 2543875 4070200 4477220 4763000 5087750 5596525 8954440 10175500 11193050 20351000 22386100 27982625 44772200 55965250 111930500 223861000