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221221020330 = 23257433330689
BaseRepresentation
bin1100111000000111001…
…1001110001010101010
3210011000021101012202100
43032001303032022222
512111030040122310
6245343314114230
721661030434642
oct3160163161252
9704007335670
10221221020330
1185901553932
1236a5a57b976
1317b2696ac3b
14a9c8609522
155b4b4cdec0
hex3381cce2aa

221221020330 has 48 divisors (see below), whose sum is σ = 575253773640. Its totient is φ = 58984157184.

The previous prime is 221221020329. The next prime is 221221020331. The reversal of 221221020330 is 33020122122.

221221020330 is a `hidden beast` number, since 221 + 2 + 210 + 203 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (221221020329) and next prime (221221020331).

It can be written as a sum of positive squares in 4 ways, for example, as 194605381881 + 26615638449 = 441141^2 + 163143^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221221020331) 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, 503626 + ... + 834314.

Almost surely, 2221221020330 is an apocalyptic number.

221221020330 is an abundant number, since it is smaller than the sum of its proper divisors (354032753310).

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

221221020330 is a wasteful number, since it uses less digits than its factorization.

221221020330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338135 (or 338132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221221020330 its reverse (33020122122), we get a palindrome (254241142452).

The spelling of 221221020330 in words is "two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7433 14866 22299 37165 44598 66897 74330 111495 133794 222990 330689 334485 661378 668970 992067 1653445 1984134 2976201 3306890 4960335 5952402 9920670 14881005 29762010 2458011337 4916022674 7374034011 12290056685 14748068022 22122102033 24580113370 36870170055 44244204066 73740340110 110610510165 221221020330