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211023000 = 23325323447
BaseRepresentation
bin11001001001111…
…11010010011000
3112201002002010200
430210333102120
5413010214000
632534542200
75141444256
oct1444772230
9481062120
10211023000
11a9131781
125a807960
13349466a6
14200515d6
15137d5500
hexc93f498

211023000 has 96 divisors (see below), whose sum is σ = 713288160. Its totient is φ = 56270400.

The previous prime is 211022993. The next prime is 211023049. The reversal of 211023000 is 320112.

It is a happy number.

211023000 is digitally balanced in base 2, because in such base 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724 + ... + 20723.

It is an arithmetic number, because the mean of its divisors is an integer number (7430085).

Almost surely, 2211023000 is an apocalyptic number.

211023000 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 211023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356644080).

211023000 is an abundant number, since it is smaller than the sum of its proper divisors (502265160).

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

211023000 is a wasteful number, since it uses less digits than its factorization.

211023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23474 (or 23457 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 211023000 is about 14526.6307174100. The cubic root of 211023000 is about 595.3558119437.

Adding to 211023000 its reverse (320112), we get a palindrome (211343112).

The spelling of 211023000 in words is "two hundred eleven million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23447 46894 70341 93788 117235 140682 187576 211023 234470 281364 351705 422046 468940 562728 586175 703410 844092 937880 1055115 1172350 1406820 1688184 1758525 2110230 2344700 2813640 2930875 3517050 4220460 4689400 5275575 5861750 7034100 8440920 8792625 10551150 11723500 14068200 17585250 21102300 23447000 26377875 35170500 42204600 52755750 70341000 105511500 211023000