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221020401414 = 231915671237253
BaseRepresentation
bin1100110111010111010…
…1111010111100000110
3210010111021212201100010
43031311311322330012
512110122210321124
6245311350131050
721653043262101
oct3156565727406
9703437781303
10221020401414
118580928897a
1236a03350a86
1317ac4228017
14a9a9b05738
155b38aa1529
hex3375d7af06

221020401414 has 32 divisors (see below), whose sum is σ = 465603425280. Its totient is φ = 69751318752.

The previous prime is 221020401391. The next prime is 221020401419. The reversal of 221020401414 is 414104020122.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020401419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439989 + ... + 797264.

It is an arithmetic number, because the mean of its divisors is an integer number (14550107040).

Almost surely, 2221020401414 is an apocalyptic number.

221020401414 is an abundant number, since it is smaller than the sum of its proper divisors (244583023866).

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

221020401414 is a wasteful number, since it uses less digits than its factorization.

221020401414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238844.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221020401414 its reverse (414104020122), we get a palindrome (635124421536).

The spelling of 221020401414 in words is "two hundred twenty-one billion, twenty million, four hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 1567 3134 4701 9402 29773 59546 89319 178638 1237253 2474506 3711759 7423518 23507807 47015614 70523421 141046842 1938775451 3877550902 5816326353 11632652706 36836733569 73673467138 110510200707 221020401414