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210023000 = 23531161313
BaseRepresentation
bin11001000010010…
…11001001011000
3112122012021101122
430201023021120
5412231214000
632501304412
75130110645
oct1441131130
9478167348
10210023000
11a8609430
125a405108
1334686485
141dc70dcc
1513689085
hexc84b258

210023000 has 128 divisors (see below), whose sum is σ = 546661440. Its totient is φ = 74880000.

The previous prime is 210022993. The next prime is 210023039. The reversal of 210023000 is 320012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670844 + ... + 671156.

Almost surely, 2210023000 is an apocalyptic number.

210023000 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 210023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273330720).

210023000 is an abundant number, since it is smaller than the sum of its proper divisors (336638440).

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

210023000 is a wasteful number, since it uses less digits than its factorization.

210023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 210023000 is about 14492.1702998550. The cubic root of 210023000 is about 594.4138945167.

Adding to 210023000 its reverse (320012), we get a palindrome (210343012).

The spelling of 210023000 in words is "two hundred ten million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 313 440 488 500 550 610 626 671 1000 1100 1220 1252 1342 1375 1525 1565 2200 2440 2504 2684 2750 3050 3130 3355 3443 5368 5500 6100 6260 6710 6886 7625 7825 11000 12200 12520 13420 13772 15250 15650 16775 17215 19093 26840 27544 30500 31300 33550 34430 38186 39125 61000 62600 67100 68860 76372 78250 83875 86075 95465 134200 137720 152744 156500 167750 172150 190930 210023 313000 335500 344300 381860 420046 430375 477325 671000 688600 763720 840092 860750 954650 1050115 1680184 1721500 1909300 2100230 2386625 3443000 3818600 4200460 4773250 5250575 8400920 9546500 10501150 19093000 21002300 26252875 42004600 52505750 105011500 210023000