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221210031420 = 223257416779809
BaseRepresentation
bin1100111000000100100…
…1010011010100111100
3210010222111200220210200
43032001021103110330
512111014232001140
6245342242403500
721660535146210
oct3160111232474
9703874626720
10221210031420
11858a6328794
1236a56960590
1317b245c1221
14a9c6d88940
155b4a55d030
hex338125353c

221210031420 has 576 divisors, whose sum is σ = 808380518400. Its totient is φ = 47918407680.

The previous prime is 221210031401. The next prime is 221210031433. The reversal of 221210031420 is 24130012122.

It is a happy number.

221210031420 is a `hidden beast` number, since 2 + 2 + 1 + 210 + 0 + 31 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221210031393 and 221210031402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273435976 + ... + 273436784.

It is an arithmetic number, because the mean of its divisors is an integer number (1403438400).

Almost surely, 2221210031420 is an apocalyptic number.

221210031420 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 221210031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404190259200).

221210031420 is an abundant number, since it is smaller than the sum of its proper divisors (587170486980).

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

221210031420 is a wasteful number, since it uses less digits than its factorization.

221210031420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221210031420 its reverse (24130012122), we get a palindrome (245340043542).

The spelling of 221210031420 in words is "two hundred twenty-one billion, two hundred ten million, thirty-one thousand, four hundred twenty".