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22304400240 = 2435488919009
BaseRepresentation
bin10100110001011100…
…100010001101110000
32010120102122221002210
4110301130202031300
5331134411301430
614125124412120
71416503162643
oct246134421560
963512587083
1022304400240
119506286031
1243a5847040
132145c30885
14111837ba5a
158a820b2b0
hex531722370

22304400240 has 80 divisors (see below), whose sum is σ = 69161421600. Its totient is φ = 5946310656.

The previous prime is 22304400227. The next prime is 22304400247. The reversal of 22304400240 is 4200440322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×223044002402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22304400247) 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, 1163856 + ... + 1182864.

It is an arithmetic number, because the mean of its divisors is an integer number (864517770).

Almost surely, 222304400240 is an apocalyptic number.

22304400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22304400240 is an abundant number, since it is smaller than the sum of its proper divisors (46857021360).

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

22304400240 is a wasteful number, since it uses less digits than its factorization.

22304400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23914 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22304400240 its reverse (4200440322), we get a palindrome (26504840562).

The spelling of 22304400240 in words is "twenty-two billion, three hundred four million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4889 9778 14667 19009 19556 24445 29334 38018 39112 48890 57027 58668 73335 76036 78224 95045 97780 114054 117336 146670 152072 190090 195560 228108 234672 285135 293340 304144 380180 391120 456216 570270 586680 760360 912432 1140540 1173360 1520720 2281080 4562160 92935001 185870002 278805003 371740004 464675005 557610006 743480008 929350010 1115220012 1394025015 1486960016 1858700020 2230440024 2788050030 3717400040 4460880048 5576100060 7434800080 11152200120 22304400240