Search a number
-
+
221355364705050 = 23521818467962921
BaseRepresentation
bin110010010101001001001111…
…111000011110001100011010
31002000202100212221220102220210
4302111021033320132030122
5213003141241331030200
62102441130053031550
764424253201262302
oct6225111770361432
91060670787812823
10221355364705050
1164592312720964
12209b019b9255b6
13966894b99cb44
143c9392a436602
151a8ce63687650
hexc9524fe1e31a

221355364705050 has 96 divisors (see below), whose sum is σ = 552060006773184. Its totient is φ = 58694981184000.

The previous prime is 221355364705039. The next prime is 221355364705063. The reversal of 221355364705050 is 50507463553122.

221355364705050 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 229397590 + ... + 230360510.

It is an arithmetic number, because the mean of its divisors is an integer number (5750625070554).

Almost surely, 2221355364705050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221355364705050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276030003386592).

221355364705050 is an abundant number, since it is smaller than the sum of its proper divisors (330704642068134).

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

221355364705050 is a wasteful number, since it uses less digits than its factorization.

221355364705050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971584 (or 971579 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 48.

The spelling of 221355364705050 in words is "two hundred twenty-one trillion, three hundred fifty-five billion, three hundred sixty-four million, seven hundred five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 181 362 543 905 1086 1810 2715 4525 5430 8467 9050 13575 16934 25401 27150 42335 50802 84670 127005 211675 254010 423350 635025 962921 1270050 1532527 1925842 2888763 3065054 4597581 4814605 5777526 7662635 9195162 9629210 14443815 15325270 22987905 24073025 28887630 38313175 45975810 48146050 72219075 76626350 114939525 144438150 174288701 229879050 348577402 522866103 871443505 1045732206 1742887010 2614330515 4357217525 5228661030 8153052107 8714435050 13071652575 16306104214 24459156321 26143305150 40765260535 48918312642 81530521070 122295781605 203826302675 244591563210 407652605350 611478908025 1222957816050 1475702431367 2951404862734 4427107294101 7378512156835 8854214588202 14757024313670 22135536470505 36892560784175 44271072941010 73785121568350 110677682352525 221355364705050