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22101440000 = 295469067
BaseRepresentation
bin10100100101010110…
…010011011000000000
32010001021202110222212
4110211112103120000
5330230432040000
614053034321252
71411460066063
oct244526233000
963037673885
1022101440000
119411760aa2
124349889228
132112b7b063
1410d94288da
158954b9c35
hex525593600

22101440000 has 100 divisors (see below), whose sum is σ = 55182776484. Its totient is φ = 8840448000.

The previous prime is 22101439967. The next prime is 22101440017. The reversal of 22101440000 is 4410122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 285467 + ... + 354533.

Almost surely, 222101440000 is an apocalyptic number.

22101440000 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 22101440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591388242).

22101440000 is an abundant number, since it is smaller than the sum of its proper divisors (33081336484).

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

22101440000 is an frugal number, since it uses more digits than its factorization.

22101440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69105 (or 69074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22101440000 its reverse (4410122), we get a palindrome (22105850122).

The spelling of 22101440000 in words is "twenty-two billion, one hundred one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 69067 80000 138134 160000 276268 320000 345335 552536 690670 1105072 1381340 1726675 2210144 2762680 3453350 4420288 5525360 6906700 8633375 8840576 11050720 13813400 17266750 17681152 22101440 27626800 34533500 35362304 43166875 44202880 55253600 69067000 86333750 88405760 110507200 138134000 172667500 176811520 221014400 276268000 345335000 442028800 552536000 690670000 884057600 1105072000 1381340000 2210144000 2762680000 4420288000 5525360000 11050720000 22101440000