Search a number
-
+
211244204000 = 2553192146291
BaseRepresentation
bin1100010010111100100…
…0101011111111100000
3202012020222020102122102
43010233020223333200
511430112004012000
6241013320225532
721155554051604
oct3045710537740
9665228212572
10211244204000
1181651934085
1234b3530b2a8
1316bc6a0a01b
14a31d59d504
1557656a03d5
hex312f22bfe0

211244204000 has 144 divisors (see below), whose sum is σ = 547785712656. Its totient is φ = 80049888000.

The previous prime is 211244203949. The next prime is 211244204011. The reversal of 211244204000 is 402442112.

It is a super-2 number, since 2×2112442040002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1370855 + ... + 1517145.

It is an arithmetic number, because the mean of its divisors is an integer number (3804067449).

Almost surely, 2211244204000 is an apocalyptic number.

211244204000 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 211244204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273892856328).

211244204000 is an abundant number, since it is smaller than the sum of its proper divisors (336541508656).

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

211244204000 is a wasteful number, since it uses less digits than its factorization.

211244204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146354 (or 146317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 211244204000 its reverse (402442112), we get a palindrome (211646646112).

The spelling of 211244204000 in words is "two hundred eleven billion, two hundred forty-four million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 361 380 400 475 500 608 722 760 800 950 1000 1444 1520 1805 1900 2000 2375 2888 3040 3610 3800 4000 4750 5776 7220 7600 9025 9500 11552 14440 15200 18050 19000 28880 36100 38000 45125 57760 72200 76000 90250 144400 146291 180500 288800 292582 361000 585164 722000 731455 1170328 1444000 1462910 2340656 2779529 2925820 3657275 4681312 5559058 5851640 7314550 11118116 11703280 13897645 14629100 18286375 22236232 23406560 27795290 29258200 36572750 44472464 52811051 55590580 58516400 69488225 73145500 88944928 105622102 111181160 117032800 138976450 146291000 211244204 222362320 264055255 277952900 292582000 347441125 422488408 444724640 528110510 555905800 585164000 694882250 844976816 1056221020 1111811600 1320276275 1389764500 1689953632 2112442040 2223623200 2640552550 2779529000 4224884080 5281105100 5559058000 6601381375 8449768160 10562210200 11118116000 13202762750 21124420400 26405525500 42248840800 52811051000 105622102000 211244204000