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221421203572356 = 2232233120509420613
BaseRepresentation
bin110010010110000110100100…
…001011110100011010000100
31002000222122211101100102211200
4302112012210023310122010
5213010231111103303411
62102531255140302500
764432103560360614
oct6226064413643204
91060878741312750
10221421203572356
1164608228a83397
1220a00ab50a1a30
139671c11cc98a8
143c96bb4552a44
151a8ea187e4e56
hexc961a42f4684

221421203572356 has 144 divisors (see below), whose sum is σ = 602909318968320. Its totient is φ = 68317214296320.

The previous prime is 221421203572343. The next prime is 221421203572421. The reversal of 221421203572356 is 653275302124122.

221421203572356 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 1 + 20 + 3 + 572 + 3 + 56 = 666.

It is a super-2 number, since 2×2214212035723562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526214706 + ... + 526635318.

Almost surely, 2221421203572356 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 221421203572356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301454659484160).

221421203572356 is an abundant number, since it is smaller than the sum of its proper divisors (381488115395964).

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

221421203572356 is a wasteful number, since it uses less digits than its factorization.

221421203572356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441186 (or 441181 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 221421203572356 its reverse (653275302124122), we get a palindrome (874696505696478).

The spelling of 221421203572356 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred three million, five hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 20509 25668 41018 61527 82036 123054 184581 246108 369162 420613 471707 635779 738324 841226 943414 1261839 1271558 1415121 1682452 1886828 1907337 2523678 2543116 2830242 3785517 3814674 4245363 5047356 5660484 5722011 7571034 7629348 8490726 9674099 11444022 13039003 14622917 15142068 16981452 19348198 22888044 26078006 29022297 29245834 38696396 39117009 43868751 52156012 58044594 58491668 78234018 87066891 87737502 116089188 117351027 131606253 156468036 174133782 175475004 234702054 263212506 299897069 348267564 469404108 526425012 599794138 899691207 1199588276 1799382414 2699073621 3598764828 5398147242 8626352017 10796294484 17252704034 25879056051 34505408068 51758112102 77637168153 103516224204 155274336306 198406096391 267416912527 310548672612 396812192782 534833825054 595218289173 793624385564 802250737581 1069667650108 1190436578346 1604501475162 1785654867519 2380873156692 2406752212743 3209002950324 3571309735038 4813504425486 6150588988121 7142619470076 9627008850972 12301177976242 18451766964363 24602355952484 36903533928726 55355300893089 73807067857452 110710601786178 221421203572356