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22445220101340 = 2235558167028669
BaseRepresentation
bin1010001101001111011110…
…10111101111110011011100
32221110202000222110212221210
411012213233113233303130
510420220302321220330
6115423105231024420
74504420322654061
oct506475727576334
987422028425853
1022445220101340
117173a676686a3
12262604a96b110
13c6a76286c14a
145784d6874c68
1528dcb96758b0
hex1469ef5efcdc

22445220101340 has 48 divisors (see below), whose sum is σ = 62857878037920. Its totient is φ = 5984319479040.

The previous prime is 22445220101267. The next prime is 22445220101371. The reversal of 22445220101340 is 4310102254422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22445220101298 and 22445220101307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33179475 + ... + 33849194.

It is an arithmetic number, because the mean of its divisors is an integer number (1309539125790).

Almost surely, 222445220101340 is an apocalyptic number.

22445220101340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22445220101340 is an abundant number, since it is smaller than the sum of its proper divisors (40412657936580).

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

22445220101340 is a wasteful number, since it uses less digits than its factorization.

22445220101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67034262 (or 67034260 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22445220101340 its reverse (4310102254422), we get a palindrome (26755322355762).

The spelling of 22445220101340 in words is "twenty-two trillion, four hundred forty-five billion, two hundred twenty million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5581 11162 16743 22324 27905 33486 55810 66972 83715 111620 167430 334860 67028669 134057338 201086007 268114676 335143345 402172014 670286690 804344028 1005430035 1340573380 2010860070 4021720140 374087001689 748174003378 1122261005067 1496348006756 1870435008445 2244522010134 3740870016890 4489044020268 5611305025335 7481740033780 11222610050670 22445220101340