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22204343440 = 245436454751
BaseRepresentation
bin10100101011011110…
…110110010010010000
32010022110101111222101
4110223132312102100
5330433302442230
614111152050144
71414146543106
oct245336662220
963273344871
1022204343440
119464855964
124378233954
13212b29a276
141108d73c76
1589e544aca
hex52b7b6490

22204343440 has 40 divisors (see below), whose sum is σ = 52825690368. Its totient is φ = 8675184000.

The previous prime is 22204343431. The next prime is 22204343443. The reversal of 22204343440 is 4434340222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×222043434403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22204343399 and 22204343408.

It is not an unprimeable number, because it can be changed into a prime (22204343443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3223936 + ... + 3230815.

Almost surely, 222204343440 is an apocalyptic number.

22204343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22204343440 is an abundant number, since it is smaller than the sum of its proper divisors (30621346928).

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

22204343440 is a wasteful number, since it uses less digits than its factorization.

22204343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454807 (or 6454801 counting only the distinct ones).

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

Adding to 22204343440 its reverse (4434340222), we get a palindrome (26638683662).

The spelling of 22204343440 in words is "twenty-two billion, two hundred four million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 6454751 12909502 25819004 32273755 51638008 64547510 103276016 129095020 258190040 277554293 516380080 555108586 1110217172 1387771465 2220434344 2775542930 4440868688 5551085860 11102171720 22204343440