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22200111320 = 2352998319469
BaseRepresentation
bin10100101011001110…
…101101000011011000
32010022011102111121012
4110223032231003120
5330431212030240
614110521233052
71414065555422
oct245316550330
963264374535
1022200111320
119462425242
124376932788
13212a447b5a
141108591812
1589deaab65
hex52b3ad0d8

22200111320 has 64 divisors (see below), whose sum is σ = 51727896000. Its totient is φ = 8564674048.

The previous prime is 22200111281. The next prime is 22200111361. The reversal of 22200111320 is 2311100222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22200111295 and 22200111304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1130546 + ... + 1150014.

It is an arithmetic number, because the mean of its divisors is an integer number (808248375).

Almost surely, 222200111320 is an apocalyptic number.

22200111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25863948000).

22200111320 is an abundant number, since it is smaller than the sum of its proper divisors (29527784680).

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

22200111320 is a wasteful number, since it uses less digits than its factorization.

22200111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22200111320 its reverse (2311100222), we get a palindrome (24511211542).

The spelling of 22200111320 in words is "twenty-two billion, two hundred million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 983 1160 1966 3932 4915 7864 9830 19469 19660 28507 38938 39320 57014 77876 97345 114028 142535 155752 194690 228056 285070 389380 564601 570140 778760 1129202 1140280 2258404 2823005 4516808 5646010 11292020 19138027 22584040 38276054 76552108 95690135 153104216 191380270 382760540 555002783 765521080 1110005566 2220011132 2775013915 4440022264 5550027830 11100055660 22200111320