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22242240404300 = 2252749676397147
BaseRepresentation
bin1010000111010101011001…
…10101101001101101001100
32220202100002222100220112202
411003222230311221231030
510403404102020414200
6115145535535421032
74453643311004510
oct503525465515514
986670088326482
1022242240404300
1170a5976943a64
1225b2841384778
13c54585126a37
1456c75cb54140
1528888981d1d5
hex143aacd69b4c

22242240404300 has 72 divisors (see below), whose sum is σ = 55171870274304. Its totient is φ = 7624374488640.

The previous prime is 22242240404287. The next prime is 22242240404311. The reversal of 22242240404300 is 340404224222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278327 + ... + 6675473.

It is an arithmetic number, because the mean of its divisors is an integer number (766275976032).

Almost surely, 222242240404300 is an apocalyptic number.

22242240404300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22242240404300 is an abundant number, since it is smaller than the sum of its proper divisors (32929629870004).

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

22242240404300 is a wasteful number, since it uses less digits than its factorization.

22242240404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402135 (or 6402128 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 22242240404300 its reverse (340404224222), we get a palindrome (22582644628522).

The spelling of 22242240404300 in words is "twenty-two trillion, two hundred forty-two billion, two hundred forty million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4967 9934 19868 24835 34769 49670 69538 99340 124175 139076 173845 248350 347690 496700 695380 869225 1738450 3476900 6397147 12794294 25588588 31985735 44780029 63971470 89560058 127942940 159928675 179120116 223900145 319857350 447800290 639714700 895600580 1119500725 2239001450 4478002900 31774629149 63549258298 127098516596 158873145745 222422404043 317746291490 444844808086 635492582980 794365728725 889689616172 1112112020215 1588731457450 2224224040430 3177462914900 4448448080860 5560560101075 11121120202150 22242240404300