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22421131440 = 2435574316267
BaseRepresentation
bin10100111000011001…
…110101000010110000
32010212120022111012120
4110320121311002300
5331404302201230
614144454354240
71422421321101
oct247031650260
963776274176
1022421131440
1195661649a4
12441895b980
1321641819a6
141129a863a8
158b35b8310
hex5386750b0

22421131440 has 80 divisors (see below), whose sum is σ = 69521883648. Its totient is φ = 5977559808.

The previous prime is 22421131433. The next prime is 22421131457. The reversal of 22421131440 is 4413112422.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 22421131440.

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, 1370187 + ... + 1386453.

Almost surely, 222421131440 is an apocalyptic number.

22421131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22421131440 is an abundant number, since it is smaller than the sum of its proper divisors (47100752208).

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

22421131440 is a wasteful number, since it uses less digits than its factorization.

22421131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22026 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22421131440 its reverse (4413112422), we get a palindrome (26834243862).

The spelling of 22421131440 in words is "twenty-two billion, four hundred twenty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5743 11486 16267 17229 22972 28715 32534 34458 45944 48801 57430 65068 68916 81335 86145 91888 97602 114860 130136 137832 162670 172290 195204 229720 244005 260272 275664 325340 344580 390408 459440 488010 650680 689160 780816 976020 1301360 1378320 1952040 3904080 93421381 186842762 280264143 373685524 467106905 560528286 747371048 934213810 1121056572 1401320715 1494742096 1868427620 2242113144 2802641430 3736855240 4484226288 5605282860 7473710480 11210565720 22421131440