Search a number
-
+
221202201000 = 233531123291439
BaseRepresentation
bin1100111000000010101…
…1011011100110101000
3210010221221222002111010
43032000223123212220
512111010230413000
6245341402503520
721660411454044
oct3160053334650
9703857862433
10221202201000
11858a196a670
1236a54204ba0
1317b22aac041
14a9c5d0b024
155b49a12d50
hex3380adb9a8

221202201000 has 256 divisors, whose sum is σ = 785628979200. Its totient is φ = 51293088000.

The previous prime is 221202200993. The next prime is 221202201007. The reversal of 221202201000 is 102202122.

It is an interprime number because it is at equal distance from previous prime (221202200993) and next prime (221202201007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221202201007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613281 + ... + 904719.

It is an arithmetic number, because the mean of its divisors is an integer number (3068863200).

Almost surely, 2221202201000 is an apocalyptic number.

221202201000 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 221202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392814489600).

221202201000 is an abundant number, since it is smaller than the sum of its proper divisors (564426778200).

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

221202201000 is a wasteful number, since it uses less digits than its factorization.

221202201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291497 (or 291483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221202201000 its reverse (102202122), we get a palindrome (221304403122).

The spelling of 221202201000 in words is "two hundred twenty-one billion, two hundred two million, two hundred one thousand".