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221120222012200 = 23527295446310887
BaseRepresentation
bin110010010001101110010000…
…010010010010001100101000
31001222220212221110102222200201
4302101232100102102030220
5212440313203313342300
62102141121101041544
764401260143334650
oct6221562022221450
91058825843388621
10221120222012200
1164501617808455
12209726b6b562b4
13964c716a19074
143c863c0d03360
151a86c9ed9866a
hexc91b90492328

221120222012200 has 96 divisors (see below), whose sum is σ = 607808295100800. Its totient is φ = 73198418307840.

The previous prime is 221120222012197. The next prime is 221120222012201. The reversal of 221120222012200 is 2210222021122.

It is not an unprimeable number, because it can be changed into a prime (221120222012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723114844 + ... + 2723196043.

It is an arithmetic number, because the mean of its divisors is an integer number (6331336407300).

Almost surely, 2221120222012200 is an apocalyptic number.

221120222012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120222012200 is an abundant number, since it is smaller than the sum of its proper divisors (386688073088600).

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

221120222012200 is a wasteful number, since it uses less digits than its factorization.

221120222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446310939 (or 5446310930 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221120222012200 its reverse (2210222021122), we get a palindrome (223330444033322).

The spelling of 221120222012200 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 140 145 175 200 203 232 280 290 350 406 580 700 725 812 1015 1160 1400 1450 1624 2030 2900 4060 5075 5800 8120 10150 20300 40600 5446310887 10892621774 21785243548 27231554435 38124176209 43570487096 54463108870 76248352418 108926217740 136157772175 152496704836 157943015723 190620881045 217852435480 272315544350 304993409672 315886031446 381241762090 544631088700 631772062892 762483524180 789715078615 953104405225 1089262177400 1105601110061 1263544125784 1524967048360 1579430157230 1906208810450 2211202220122 3158860314460 3812417620900 3948575393075 4422404440244 5528005550305 6317720628920 7624835241800 7897150786150 8844808880488 11056011100610 15794301572300 22112022201220 27640027751525 31588603144600 44224044402440 55280055503050 110560111006100 221120222012200