Search a number
-
+
211199440 = 24519271103
BaseRepresentation
bin11001001011010…
…10010111010000
3112201102001011111
430211222113100
5413031340230
632542423104
75143110544
oct1445522720
9481361144
10211199440
11a92422a1
125a891a94
13349a8aaa
1420099a24
151381c92a
hexc96a5d0

211199440 has 120 divisors (see below), whose sum is σ = 530644608. Its totient is φ = 78140160.

The previous prime is 211199423. The next prime is 211199447. The reversal of 211199440 is 44991112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211199447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050429 + ... + 2050531.

Almost surely, 2211199440 is an apocalyptic number.

211199440 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 211199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

211199440 is an abundant number, since it is smaller than the sum of its proper divisors (319445168).

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

211199440 is a wasteful number, since it uses less digits than its factorization.

211199440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 211199440 is about 14532.7024327893. The cubic root of 211199440 is about 595.5216948357.

The spelling of 211199440 in words is "two hundred eleven million, one hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 95 103 142 152 190 206 284 304 355 361 380 412 515 568 710 722 760 824 1030 1136 1349 1420 1444 1520 1648 1805 1957 2060 2698 2840 2888 3610 3914 4120 5396 5680 5776 6745 7220 7313 7828 8240 9785 10792 13490 14440 14626 15656 19570 21584 25631 26980 28880 29252 31312 36565 37183 39140 51262 53960 58504 73130 74366 78280 102524 107920 117008 128155 138947 146260 148732 156560 185915 205048 256310 277894 292520 297464 371830 410096 512620 555788 585040 594928 694735 743660 1025240 1111576 1389470 1487320 2050480 2223152 2639993 2778940 2974640 5279986 5557880 10559972 11115760 13199965 21119944 26399930 42239888 52799860 105599720 211199440