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22424033440 = 2552116431033
BaseRepresentation
bin10100111000100100…
…111001100010100000
32010212202202221000001
4110320210321202200
5331411023032230
614145040505344
71422455065534
oct247044714240
963782687001
1022424033440
119567867246
12441991b254
132164959853
14112a1ddbc4
158b398d0ca
hex5389398a0

22424033440 has 96 divisors (see below), whose sum is σ = 53362241856. Its totient is φ = 8904591360.

The previous prime is 22424033431. The next prime is 22424033449. The reversal of 22424033440 is 4433042422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22424033431) and next prime (22424033449).

It is a junction number, because it is equal to n+sod(n) for n = 22424033399 and 22424033408.

It is not an unprimeable number, because it can be changed into a prime (22424033449) 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, 21707164 + ... + 21708196.

It is an arithmetic number, because the mean of its divisors is an integer number (555856686).

Almost surely, 222424033440 is an apocalyptic number.

22424033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22424033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26681120928).

22424033440 is an abundant number, since it is smaller than the sum of its proper divisors (30938208416).

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

22424033440 is a wasteful number, since it uses less digits than its factorization.

22424033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

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

Adding to 22424033440 its reverse (4433042422), we get a palindrome (26857075862).

The spelling of 22424033440 in words is "twenty-two billion, four hundred twenty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 643 844 1033 1055 1286 1688 2066 2110 2572 3215 3376 4132 4220 5144 5165 6430 6752 8264 8440 10288 10330 12860 16528 16880 20576 20660 25720 33056 33760 41320 51440 82640 102880 135673 165280 217963 271346 435926 542692 664219 678365 871852 1085384 1089815 1328438 1356730 1743704 2170768 2179630 2656876 2713460 3321095 3487408 4341536 4359260 5313752 5426920 6642190 6974816 8718520 10627504 10853840 13284380 17437040 21255008 21707680 26568760 34874080 53137520 106275040 140150209 280300418 560600836 700751045 1121201672 1401502090 2242403344 2803004180 4484806688 5606008360 11212016720 22424033440