Search a number
-
+
211199232 = 28359279
BaseRepresentation
bin11001001011010…
…10010100000000
3112201102000212210
430211222110000
5413031333412
632542422120
75143110126
oct1445522400
9481360783
10211199232
11a9242122
125a891940
13349a897a
1420099916
151381c83c
hexc96a500

211199232 has 108 divisors (see below), whose sum is σ = 579024320. Its totient is φ = 68330496.

The previous prime is 211199201. The next prime is 211199251. The reversal of 211199232 is 232991112.

211199232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1944) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 211199232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2673369 + ... + 2673447.

Almost surely, 2211199232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289512160).

211199232 is an abundant number, since it is smaller than the sum of its proper divisors (367825088).

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

211199232 is an frugal number, since it uses more digits than its factorization.

211199232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 143 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 211199232 is about 14532.6952765136. The cubic root of 211199232 is about 595.5214993355.

The spelling of 211199232 in words is "two hundred eleven million, one hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 79 96 118 128 158 177 192 236 237 256 316 354 384 472 474 632 708 768 944 948 1264 1416 1888 1896 2528 2832 3481 3776 3792 4661 5056 5664 6962 7552 7584 9322 10112 10443 11328 13924 13983 15104 15168 18644 20224 20886 22656 27848 27966 30336 37288 41772 45312 55696 55932 60672 74576 83544 111392 111864 149152 167088 222784 223728 274999 298304 334176 445568 447456 549998 596608 668352 824997 891136 894912 1099996 1193216 1336704 1649994 1789824 2199992 2673408 3299988 3579648 4399984 6599976 8799968 13199952 17599936 26399904 35199872 52799808 70399744 105599616 211199232