Search a number
-
+
211152172 = 22731117823
BaseRepresentation
bin11001001010111…
…10110100101100
3112201022122022211
430211132310230
5413023332142
632541420204
75142523000
oct1445366454
9481278284
10211152172
11a920a830
125a86a664
133499041a
1420086700
151380d917
hexc95ed2c

211152172 has 96 divisors (see below), whose sum is σ = 498355200. Its totient is φ = 77333760.

The previous prime is 211152157. The next prime is 211152181. The reversal of 211152172 is 271251112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256153 + ... + 256975.

It is an arithmetic number, because the mean of its divisors is an integer number (5191200).

Almost surely, 2211152172 is an apocalyptic number.

211152172 is a gapful number since it is divisible by the number (22) 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 211152172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249177600).

211152172 is an abundant number, since it is smaller than the sum of its proper divisors (287203028).

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

211152172 is a wasteful number, since it uses less digits than its factorization.

211152172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

The product of its digits is 280, while the sum is 22.

The square root of 211152172 is about 14531.0760785291. The cubic root of 211152172 is about 595.4772641312.

The spelling of 211152172 in words is "two hundred eleven million, one hundred fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 343 374 476 539 686 748 823 833 1078 1309 1372 1646 1666 2156 2618 3292 3332 3773 5236 5761 5831 7546 9053 9163 11522 11662 13991 15092 18106 18326 23044 23324 27982 36212 36652 40327 55964 63371 64141 80654 97937 126742 128282 153901 161308 195874 253484 256564 282289 307802 391748 443597 564578 615604 685559 887194 1077307 1129156 1371118 1774388 2154614 2742236 3105179 4309228 4798913 6210358 7541149 9597826 12420716 15082298 19195652 30164596 52788043 105576086 211152172