Search a number
-
+
221211001222200 = 23325211174703139739
BaseRepresentation
bin110010010011000010110011…
…001001011111010000111000
31002000020120021000112122222200
4302103002303021133100320
5212443310112303102300
62102250533034350200
764410652554025533
oct6223026311372070
91060216230478880
10221211001222200
116453707125a550
122098821088b360
1396581530c2342
143c8a9534b7a1a
151a89314842200
hexc930b325f438

221211001222200 has 576 divisors, whose sum is σ = 858298015411200. Its totient is φ = 50461292236800.

The previous prime is 221211001222199. The next prime is 221211001222231. The reversal of 221211001222200 is 2222100112122.

It is a happy number.

221211001222200 is a `hidden beast` number, since 2 + 212 + 110 + 0 + 122 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1582959931 + ... + 1583099669.

It is an arithmetic number, because the mean of its divisors is an integer number (1490100721200).

Almost surely, 2221211001222200 is an apocalyptic number.

221211001222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211001222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429149007705600).

221211001222200 is an abundant number, since it is smaller than the sum of its proper divisors (637087014189000).

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

221211001222200 is a wasteful number, since it uses less digits than its factorization.

221211001222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144492 (or 144480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221211001222200 its reverse (2222100112122), we get a palindrome (223433101334322).

The spelling of 221211001222200 in words is "two hundred twenty-one trillion, two hundred eleven billion, one million, two hundred twenty-two thousand, two hundred".