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200224314030204 = 223431119811663861
BaseRepresentation
bin101101100001101001011011…
…000111001111100001111100
3222020221020221201001110020000
4231201221123013033201330
5202220433343342431304
61545501440253354300
760113505104155122
oct5541513307174174
9866836851043200
10200224314030204
1158885722484292
121a558991798990
1387950c1978279
143762ca0d27912
151823461d85939
hexb61a5b1cf87c

200224314030204 has 120 divisors (see below), whose sum is σ = 540356036094336. Its totient is φ = 64583058672000.

The previous prime is 200224314030137. The next prime is 200224314030227. The reversal of 200224314030204 is 402030413422002.

200224314030204 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 24 + 31 + 403 + 0 + 204 = 666.

It is a super-2 number, since 2×2002243140302042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119505234 + ... + 121169094.

Almost surely, 2200224314030204 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 200224314030204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270178018047168).

200224314030204 is an abundant number, since it is smaller than the sum of its proper divisors (340131722064132).

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

200224314030204 is a wasteful number, since it uses less digits than its factorization.

200224314030204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675889 (or 1675878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 200224314030204 its reverse (402030413422002), we get a palindrome (602254727452206).

The spelling of 200224314030204 in words is "two hundred trillion, two hundred twenty-four billion, three hundred fourteen million, thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 11981 23962 35943 47924 71886 107829 143772 215658 323487 371411 431316 646974 742822 970461 1114233 1293948 1485644 1663861 1940922 2228466 3327722 3342699 3881844 4456932 4991583 6655444 6685398 9983166 10028097 13370796 14974749 19966332 20056194 29949498 30084291 40112388 44924247 51579691 59898996 60168582 89848494 103159382 120337164 134772741 154739073 179696988 206318764 269545482 309478146 464217219 539090964 618956292 928434438 1392651657 1856868876 2785303314 4177954971 5570606628 8355909942 16711819884 19934718641 39869437282 59804155923 79738874564 119608311846 179412467769 239216623692 358824935538 538237403307 617976277871 717649871076 1076474806614 1235952555742 1614712209921 1853928833613 2152949613228 2471905111484 3229424419842 3707857667226 5561786500839 6458848839684 7415715334452 11123573001678 16685359502517 22247146003356 33370719005034 50056078507551 66741438010068 100112157015102 200224314030204