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221220414132 = 223317215327011
BaseRepresentation
bin1100111000000111000…
…0111010001010110100
3210011000020020102012120
43032001300322022310
512111024411223012
6245343253115540
721661022331414
oct3160160721264
9704006212176
10221220414132
118590117a443
1236a5a328bb0
1317b267b8043
14a9c84cc644
155b4b40e58c
hex3381c3a2b4

221220414132 has 48 divisors (see below), whose sum is σ = 518068982592. Its totient is φ = 73470657280.

The previous prime is 221220414119. The next prime is 221220414143. The reversal of 221220414132 is 231414022122.

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 15 ways as a sum of consecutive naturals, for example, 8176507 + ... + 8203517.

It is an arithmetic number, because the mean of its divisors is an integer number (10793103804).

Almost surely, 2221220414132 is an apocalyptic number.

It is an amenable number.

221220414132 is an abundant number, since it is smaller than the sum of its proper divisors (296848568460).

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

221220414132 is a wasteful number, since it uses less digits than its factorization.

221220414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29488 (or 29486 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221220414132 its reverse (231414022122), we get a palindrome (452634436254).

The spelling of 221220414132 in words is "two hundred twenty-one billion, two hundred twenty million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 317 634 951 1268 1902 2153 3804 4306 6459 8612 12918 25836 27011 54022 81033 108044 162066 324132 682501 1365002 2047503 2730004 4095006 8190012 8562487 17124974 25687461 34249948 51374922 58154683 102749844 116309366 174464049 232618732 348928098 697856196 18435034511 36870069022 55305103533 73740138044 110610207066 221220414132