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221641656145500 = 223531463891009373
BaseRepresentation
bin110010011001010011111000…
…001011101001011001011100
31002001202201212002202111020010
4302121103320023221121130
5213022334102433124000
62103220434324123220
764454036600336013
oct6231237013513134
91061681762674203
10221641656145500
11646927757874a8
1220a3777a236510
1396899456b1646
143ca3728a87a7a
151a9561c5d0d50
hexc994f82e965c

221641656145500 has 96 divisors (see below), whose sum is σ = 645425551068480. Its totient is φ = 59103979334400.

The previous prime is 221641656145451. The next prime is 221641656145501. The reversal of 221641656145500 is 5541656146122.

It is a happy number.

221641656145500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221641656145500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221641656145501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219078814 + ... + 220088186.

It is an arithmetic number, because the mean of its divisors is an integer number (6723182823630).

Almost surely, 2221641656145500 is an apocalyptic number.

221641656145500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221641656145500 is an abundant number, since it is smaller than the sum of its proper divisors (423783894922980).

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

221641656145500 is a wasteful number, since it uses less digits than its factorization.

221641656145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155784 (or 1155772 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 221641656145500 in words is "two hundred twenty-one trillion, six hundred forty-one billion, six hundred fifty-six million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 146389 292778 439167 585556 731945 878334 1009373 1463890 1756668 2018746 2195835 2927780 3028119 3659725 4037492 4391670 5046865 6056238 7319450 8783340 10093730 10979175 12112476 14638900 15140595 18298625 20187460 21958350 25234325 30281190 36597250 43916700 50468650 54895875 60562380 73194500 75702975 100937300 109791750 126171625 151405950 219583500 252343250 302811900 378514875 504686500 757029750 1514059500 147761104097 295522208194 443283312291 591044416388 738805520485 886566624582 1477611040970 1773133249164 2216416561455 2955222081940 3694027602425 4432833122910 7388055204850 8865666245820 11082082807275 14776110409700 18470138012125 22164165614550 36940276024250 44328331229100 55410414036375 73880552048500 110820828072750 221641656145500