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211034430 = 233517231999
BaseRepresentation
bin11001001010000…
…10000100111110
3112201002122211000
430211002010332
5413011100210
632535111130
75141522505
oct1445020476
9481078730
10211034430
11a913a322
125a8124a6
133494b959
142005583c
15137d8ac0
hexc94213e

211034430 has 128 divisors (see below), whose sum is σ = 622080000. Its totient is φ = 50637312.

The previous prime is 211034419. The next prime is 211034431. The reversal of 211034430 is 34430112.

211034430 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211034431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104571 + ... + 106569.

It is an arithmetic number, because the mean of its divisors is an integer number (4860000).

Almost surely, 2211034430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211034430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040000).

211034430 is an abundant number, since it is smaller than the sum of its proper divisors (411045570).

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

211034430 is a wasteful number, since it uses less digits than its factorization.

211034430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 211034430 is about 14527.0241274667. The cubic root of 211034430 is about 595.3665608417.

Adding to 211034430 its reverse (34430112), we get a palindrome (245464542).

The spelling of 211034430 in words is "two hundred eleven million, thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 85 90 102 115 135 138 153 170 207 230 255 270 306 345 391 414 459 510 621 690 765 782 918 1035 1173 1242 1530 1955 1999 2070 2295 2346 3105 3519 3910 3998 4590 5865 5997 6210 7038 9995 10557 11730 11994 17595 17991 19990 21114 29985 33983 35190 35982 45977 52785 53973 59970 67966 89955 91954 101949 105570 107946 137931 169915 179910 203898 229885 269865 275862 305847 339830 413793 459770 509745 539730 611694 689655 781609 827586 917541 1019490 1241379 1379310 1529235 1563218 1835082 2068965 2344827 2482758 3058470 3908045 4137930 4587705 4689654 6206895 7034481 7816090 9175410 11724135 12413790 14068962 21103443 23448270 35172405 42206886 70344810 105517215 211034430