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221223000 = 23353371993
BaseRepresentation
bin11010010111110…
…01100001011000
3120102021021220110
431023321201120
5423113114000
633541324320
75324236005
oct1513714130
9512237813
10221223000
11103969129
12621066a0
1336aa82ab
14215488ac
151464c850
hexd2f9858

221223000 has 128 divisors (see below), whose sum is σ = 709225920. Its totient is φ = 57369600.

The previous prime is 221222987. The next prime is 221223001. The reversal of 221223000 is 322122.

221223000 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 Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221223001) 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, 110004 + ... + 111996.

Almost surely, 2221223000 is an apocalyptic number.

221223000 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 221223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354612960).

221223000 is an abundant number, since it is smaller than the sum of its proper divisors (488002920).

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

221223000 is a wasteful number, since it uses less digits than its factorization.

221223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221223000 is about 14873.5671578811. The cubic root of 221223000 is about 604.7976465083.

Adding to 221223000 its reverse (322122), we get a palindrome (221545122).

The spelling of 221223000 in words is "two hundred twenty-one million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 1993 2220 2775 3000 3700 3986 4440 4625 5550 5979 7400 7972 9250 9965 11100 11958 13875 15944 18500 19930 22200 23916 27750 29895 37000 39860 47832 49825 55500 59790 73741 79720 99650 111000 119580 147482 149475 199300 221223 239160 249125 294964 298950 368705 398600 442446 498250 589928 597900 737410 747375 884892 996500 1106115 1195800 1474820 1494750 1769784 1843525 1993000 2212230 2949640 2989500 3687050 4424460 5530575 5979000 7374100 8848920 9217625 11061150 14748200 18435250 22122300 27652875 36870500 44244600 55305750 73741000 110611500 221223000