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22040344432 = 24191016831051
BaseRepresentation
bin10100100001101101…
…001111011101110000
32002220000210111122001
4110201231033131300
5330114312010212
614043013023344
71410115556641
oct244155173560
962800714561
1022040344432
119390221a97
124331324b54
132103309532
1410d12836c8
1588ee4c657
hex521b4f770

22040344432 has 80 divisors (see below), whose sum is σ = 45505480320. Its totient is φ = 10311840000.

The previous prime is 22040344429. The next prime is 22040344441. The reversal of 22040344432 is 23444304022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22040344432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20970307 + ... + 20971357.

It is an arithmetic number, because the mean of its divisors is an integer number (568818504).

Almost surely, 222040344432 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 22040344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752740160).

22040344432 is an abundant number, since it is smaller than the sum of its proper divisors (23465135888).

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

22040344432 is a wasteful number, since it uses less digits than its factorization.

22040344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 22040344432 its reverse (23444304022), we get a palindrome (45484648454).

The spelling of 22040344432 in words is "twenty-two billion, forty million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 683 808 1051 1366 1616 1919 2102 2732 3838 4204 5464 7676 8408 10928 12977 15352 16816 19969 25954 30704 39938 51908 68983 79876 103816 106151 137966 159752 207632 212302 275932 319504 424604 551864 717833 849208 1103728 1310677 1435666 1698416 2016869 2621354 2871332 4033738 5242708 5742664 8067476 10485416 11485328 13638827 16134952 20970832 27277654 32269904 54555308 72501133 109110616 145002266 218221232 290004532 580009064 1160018128 1377521527 2755043054 5510086108 11020172216 22040344432