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220004414132 = 222943137321947
BaseRepresentation
bin1100110011100101001…
…0001111001010110100
3210000212111010012210112
43030321102033022310
512101032112223012
6245022454042152
721615625444046
oct3147122171264
9700774105715
10220004414132
1185337835668
123677b049358
13179918b1009
14a910bd5a96
155ac97b3122
hex333948f2b4

220004414132 has 48 divisors (see below), whose sum is σ = 410522333760. Its totient is φ = 102981510912.

The previous prime is 220004414131. The next prime is 220004414137. The reversal of 220004414132 is 231414400022.

220004414132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200044141322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220004414098 and 220004414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220004414131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522383 + ... + 844329.

It is an arithmetic number, because the mean of its divisors is an integer number (8552548620).

Almost surely, 2220004414132 is an apocalyptic number.

It is an amenable number.

220004414132 is a deficient number, since it is larger than the sum of its proper divisors (190517919628).

220004414132 is a wasteful number, since it uses less digits than its factorization.

220004414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322160 (or 322158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 220004414132 its reverse (231414400022), we get a palindrome (451418814154).

The spelling of 220004414132 in words is "two hundred twenty billion, four million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 29 43 58 86 116 137 172 274 548 1247 2494 3973 4988 5891 7946 11782 15892 23564 170839 321947 341678 643894 683356 1287788 9336463 13843721 18672926 27687442 37345852 44106739 55374884 88213478 176426956 401467909 802935818 1279095431 1605871636 1896589777 2558190862 3793179554 5116381724 7586359108 55001103533 110002207066 220004414132