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22022330240 = 27583414577
BaseRepresentation
bin10100100000101000…
…100001011110000000
32002211202220021210202
4110200220201132000
5330100204031430
614041130544332
71406506501301
oct244050413600
962752807722
1022022330240
119381038729
1243272980a8
1320cc66cc51
1410ccb147a8
1588d58ed45
hex520a21780

22022330240 has 64 divisors (see below), whose sum is σ = 53281564560. Its totient is φ = 8702779392.

The previous prime is 22022330177. The next prime is 22022330263. The reversal of 22022330240 is 4203322022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154169 + ... + 260408.

Almost surely, 222022330240 is an apocalyptic number.

22022330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022330240 is an abundant number, since it is smaller than the sum of its proper divisors (31259234320).

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

22022330240 is an equidigital number, since it uses as much as digits as its factorization.

22022330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414679 (or 414667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22022330240 its reverse (4203322022), we get a palindrome (26225652262).

The spelling of 22022330240 in words is "twenty-two billion, twenty-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 2656 3320 5312 6640 10624 13280 26560 53120 414577 829154 1658308 2072885 3316616 4145770 6633232 8291540 13266464 16583080 26532928 33166160 34409891 53065856 66332320 68819782 132664640 137639564 172049455 265329280 275279128 344098910 550558256 688197820 1101116512 1376395640 2202233024 2752791280 4404466048 5505582560 11011165120 22022330240