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210223000 = 235313103157
BaseRepresentation
bin11001000011110…
…11111110011000
3112122120102202001
430201323332120
5412304114000
632505450344
75131603021
oct1441737630
9478512661
10210223000
11a8735719
125a4a09b4
1334726510
141dcc3c48
15136c846a
hexc87bf98

210223000 has 128 divisors (see below), whose sum is σ = 538312320. Its totient is φ = 76377600.

The previous prime is 210222989. The next prime is 210223009. The reversal of 210223000 is 322012.

It is a super-4 number, since 4×2102230004 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210223009) 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, 1338922 + ... + 1339078.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2210223000 is an apocalyptic number.

210223000 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 210223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269156160).

210223000 is an abundant number, since it is smaller than the sum of its proper divisors (328089320).

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

210223000 is a wasteful number, since it uses less digits than its factorization.

210223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 210223000 is about 14499.0689356248. The cubic root of 210223000 is about 594.6025168143.

Adding to 210223000 its reverse (322012), we get a palindrome (210545012).

The spelling of 210223000 in words is "two hundred ten million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 125 130 157 200 206 250 260 314 325 412 500 515 520 628 650 785 824 1000 1030 1256 1300 1339 1570 1625 2041 2060 2575 2600 2678 3140 3250 3925 4082 4120 5150 5356 6280 6500 6695 7850 8164 10205 10300 10712 12875 13000 13390 15700 16171 16328 19625 20410 20600 25750 26780 31400 32342 33475 39250 40820 51025 51500 53560 64684 66950 78500 80855 81640 102050 103000 129368 133900 157000 161710 167375 204100 210223 255125 267800 323420 334750 404275 408200 420446 510250 646840 669500 808550 840892 1020500 1051115 1339000 1617100 1681784 2021375 2041000 2102230 3234200 4042750 4204460 5255575 8085500 8408920 10511150 16171000 21022300 26277875 42044600 52555750 105111500 210223000