Search a number
-
+
204424014300 = 2235211490912619
BaseRepresentation
bin1011111001100010011…
…1101110100111011100
3201112122122211220012220
42332120213232213130
511322130021424200
6233524444025340
720524550310612
oct2763047564734
9645578756186
10204424014300
1179772032670
1233751232250
131637aa3c80c
149c7388b6b2
1554b6a534a0
hex2f989ee9dc

204424014300 has 144 divisors (see below), whose sum is σ = 645419107200. Its totient is φ = 49543315200.

The previous prime is 204424014287. The next prime is 204424014341. The reversal of 204424014300 is 3410424402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16193391 + ... + 16206009.

Almost surely, 2204424014300 is an apocalyptic number.

204424014300 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 204424014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322709553600).

204424014300 is an abundant number, since it is smaller than the sum of its proper divisors (440995092900).

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

204424014300 is a wasteful number, since it uses less digits than its factorization.

204424014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204424014300 its reverse (3410424402), we get a palindrome (207834438702).

The spelling of 204424014300 in words is "two hundred four billion, four hundred twenty-four million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4909 9818 12619 14727 19636 24545 25238 29454 37857 49090 50476 53999 58908 63095 73635 75714 98180 107998 122725 126190 138809 147270 151428 161997 189285 215996 245450 252380 269995 277618 294540 315475 323994 368175 378570 416427 490900 539990 555236 630950 647988 694045 736350 757140 809985 832854 946425 1079980 1261900 1349975 1388090 1472700 1619970 1665708 1892850 2082135 2699950 2776180 3239940 3470225 3785700 4049925 4164270 5399900 6940450 8099850 8328540 10410675 13880900 16199700 20821350 41642700 61946671 123893342 185840013 247786684 309733355 371680026 619466710 681413381 743360052 929200065 1238933420 1362826762 1548666775 1858400130 2044240143 2725653524 3097333550 3407066905 3716800260 4088480286 4646000325 6194667100 6814133810 8176960572 9292000650 10221200715 13628267620 17035334525 18584001300 20442401430 34070669050 40884802860 51106003575 68141338100 102212007150 204424014300