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22430003040 = 2532533294679
BaseRepresentation
bin10100111000111011…
…101010111101100000
32010220012000012202100
4110320323222331200
5331414040044130
614145412450400
71422556610604
oct247073527540
963805005670
1022430003040
1195701742a5
12441b919a00
132165c69a63
14112ad15504
158b426bc60
hex538eeaf60

22430003040 has 144 divisors (see below), whose sum is σ = 76581741600. Its totient is φ = 5978259456.

The previous prime is 22430003027. The next prime is 22430003149. The reversal of 22430003040 is 4030003422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4791421 + ... + 4796099.

It is an arithmetic number, because the mean of its divisors is an integer number (531817650).

Almost surely, 222430003040 is an apocalyptic number.

22430003040 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 22430003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38290870800).

22430003040 is an abundant number, since it is smaller than the sum of its proper divisors (54151738560).

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

22430003040 is a wasteful number, since it uses less digits than its factorization.

22430003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22430003040 its reverse (4030003422), we get a palindrome (26460006462).

The spelling of 22430003040 in words is "twenty-two billion, four hundred thirty million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3329 4679 6658 9358 9987 13316 14037 16645 18716 19974 23395 26632 28074 29961 33290 37432 39948 42111 46790 49935 53264 56148 59922 66580 70185 74864 79896 84222 93580 99870 106528 112296 119844 133160 140370 149728 149805 159792 168444 187160 199740 210555 224592 239688 266320 280740 299610 319584 336888 374320 399480 421110 449184 479376 532640 561480 599220 673776 748640 798960 842220 958752 1122960 1198440 1347552 1597920 1684440 2245920 2396880 3368880 4793760 6737760 15576391 31152782 46729173 62305564 77881955 93458346 124611128 140187519 155763910 186916692 233645865 249222256 280375038 311527820 373833384 467291730 498444512 560750076 623055640 700937595 747666768 934583460 1121500152 1246111280 1401875190 1495333536 1869166920 2243000304 2492222560 2803750380 3738333840 4486000608 5607500760 7476667680 11215001520 22430003040