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21220143432 = 2335927754101
BaseRepresentation
bin10011110000110100…
…011011000101001000
32000202212102222101020
4103300310123011020
5321424324042212
613425353152440
71350566146245
oct236064330510
960685388336
1021220143432
118aaa243924
1241426bb720
1320024028b7
14105437a5cc
15842e34d8c
hex4f0d1b148

21220143432 has 64 divisors (see below), whose sum is σ = 54145281600. Its totient is φ = 6928262400.

The previous prime is 21220143431. The next prime is 21220143473. The reversal of 21220143432 is 23434102212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21220143431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365182 + ... + 419282.

It is an arithmetic number, because the mean of its divisors is an integer number (846020025).

Almost surely, 221220143432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072640800).

21220143432 is an abundant number, since it is smaller than the sum of its proper divisors (32925138168).

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

21220143432 is a wasteful number, since it uses less digits than its factorization.

21220143432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54446 (or 54442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21220143432 its reverse (23434102212), we get a palindrome (44654245644).

The spelling of 21220143432 in words is "twenty-one billion, two hundred twenty million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 277 354 472 554 708 831 1108 1416 1662 2216 3324 6648 16343 32686 49029 54101 65372 98058 108202 130744 162303 196116 216404 324606 392232 432808 649212 1298424 3191959 6383918 9575877 12767836 14985977 19151754 25535672 29971954 38303508 44957931 59943908 76607016 89915862 119887816 179831724 359663448 884172643 1768345286 2652517929 3536690572 5305035858 7073381144 10610071716 21220143432