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22466233460340 = 22325124812408113
BaseRepresentation
bin1010001101110110100111…
…10111010110011001110100
32221112202021102211010102100
411012323103313112121310
510421041321231212330
6115440502320142100
74506063131401305
oct506732367263164
987482242733370
1022466233460340
11718197010529a
12262a134167930
13c6c731180697
1457952b5847ac
1528e5e9361060
hex146ed3dd6674

22466233460340 has 36 divisors (see below), whose sum is σ = 68147574830244. Its totient is φ = 5990995589376.

The previous prime is 22466233460311. The next prime is 22466233460371. The reversal of 22466233460340 is 4306433266422.

22466233460340 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 6 + 2 + 3 + 34 + 603 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5449964954256 + 17016268506084 = 2334516^2 + 4125078^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×224662334603402 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62406203877 + ... + 62406204236.

It is an arithmetic number, because the mean of its divisors is an integer number (1892988189729).

Almost surely, 222466233460340 is an apocalyptic number.

22466233460340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22466233460340 is an abundant number, since it is smaller than the sum of its proper divisors (45681341369904).

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

22466233460340 is a wasteful number, since it uses less digits than its factorization.

22466233460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124812408128 (or 124812408123 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 22466233460340 in words is "twenty-two trillion, four hundred sixty-six billion, two hundred thirty-three million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 124812408113 249624816226 374437224339 499249632452 624062040565 748874448678 1123311673017 1248124081130 1497748897356 1872186121695 2246623346034 2496248162260 3744372243390 4493246692068 5616558365085 7488744486780 11233116730170 22466233460340