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221132142200 = 23521958192669
BaseRepresentation
bin1100110111110010000…
…0001011011001111000
3210010210002010201212202
43031330200023121320
512110334312022300
6245330421125332
721655601124014
oct3157440133170
9703702121782
10221132142200
1185866369432
1236a34859848
1317b1141c828
14a9ba8b1544
155b437c4ad5
hex337c80b678

221132142200 has 48 divisors (see below), whose sum is σ = 541191831000. Its totient is φ = 83797441920.

The previous prime is 221132142193. The next prime is 221132142211. The reversal of 221132142200 is 2241231122.

221132142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211321422002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29092535 + ... + 29100134.

Almost surely, 2221132142200 is an apocalyptic number.

221132142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132142200 is an abundant number, since it is smaller than the sum of its proper divisors (320059688800).

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

221132142200 is a wasteful number, since it uses less digits than its factorization.

221132142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58192704 (or 58192695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221132142200 its reverse (2241231122), we get a palindrome (223373373322).

The spelling of 221132142200 in words is "two hundred twenty-one billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 58192669 116385338 232770676 290963345 465541352 581926690 1105660711 1163853380 1454816725 2211321422 2327706760 2909633450 4422642844 5528303555 5819266900 8845285688 11056607110 11638533800 22113214220 27641517775 44226428440 55283035550 110566071100 221132142200