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204223221530010 = 23356726874201447
BaseRepresentation
bin101110011011110101101100…
…100100101111110110011010
3222210002112211110000101122000
4232123311230210233312122
5203231443124202430020
62002202504111341430
761005432545112414
oct5633655444576632
9883075743011560
10204223221530010
115a087644513331
121aaa39b3821876
1389c522331a887
14386065711b9b4
1518924abe8c090
hexb9bd6c92fd9a

204223221530010 has 128 divisors (see below), whose sum is σ = 552929379287040. Its totient is φ = 53626718958912.

The previous prime is 204223221529993. The next prime is 204223221530033. The reversal of 204223221530010 is 10035122322402.

204223221530010 is a `hidden beast` number, since 2 + 0 + 4 + 22 + 322 + 1 + 5 + 300 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46507107 + ... + 50708553.

It is an arithmetic number, because the mean of its divisors is an integer number (4319760775680).

Almost surely, 2204223221530010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204223221530010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276464689643520).

204223221530010 is an abundant number, since it is smaller than the sum of its proper divisors (348706157757030).

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

204223221530010 is a wasteful number, since it uses less digits than its factorization.

204223221530010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204217 (or 4204211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 204223221530010 its reverse (10035122322402), we get a palindrome (214258343852412).

The spelling of 204223221530010 in words is "two hundred four trillion, two hundred twenty-three billion, two hundred twenty-one million, five hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 2687 3015 3618 5374 6030 8061 9045 13435 16122 18090 24183 26870 40305 48366 72549 80610 120915 145098 180029 241830 360058 362745 540087 725490 900145 1080174 1620261 1800290 2700435 3240522 4201447 4860783 5400870 8101305 8402894 9721566 12604341 16202610 21007235 24303915 25208682 37813023 42014470 48607830 63021705 75626046 113439069 126043410 189065115 226878138 281496949 378130230 562993898 567195345 844490847 1134390690 1407484745 1688981694 2533472541 2814969490 4222454235 5066945082 7600417623 8444908470 11289288089 12667362705 15200835246 22578576178 25334725410 33867864267 38002088115 56446440445 67735728534 76004176230 101603592801 112892880890 169339321335 203207185602 304810778403 338678642670 508017964005 609621556806 756382301963 1016035928010 1512764603926 1524053892015 2269146905889 3048107784030 3781911509815 4538293811778 6807440717667 7563823019630 11345734529445 13614881435334 20422322153001 22691469058890 34037203588335 40844644306002 68074407176670 102111610765005 204223221530010