Search a number
-
+
22105550000 = 24551923269
BaseRepresentation
bin10100100101100101…
…111110110010110000
32010001120111021212002
4110211211332302300
5330233010100000
614053302353132
71411540034432
oct244545766260
963046437762
1022105550000
119414008996
12434b12b7a8
132113989a01
1410d9bb8652
15895a2c8d5
hex52597ecb0

22105550000 has 120 divisors (see below), whose sum is σ = 56353424400. Its totient is φ = 8376480000.

The previous prime is 22105549979. The next prime is 22105550003. The reversal of 22105550000 is 5550122.

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

It is not an unprimeable number, because it can be changed into a prime (22105550003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938366 + ... + 961634.

It is an arithmetic number, because the mean of its divisors is an integer number (469611870).

Almost surely, 222105550000 is an apocalyptic number.

22105550000 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 22105550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28176712200).

22105550000 is an abundant number, since it is smaller than the sum of its proper divisors (34247874400).

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

22105550000 is an equidigital number, since it uses as much as digits as its factorization.

22105550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23321 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The spelling of 22105550000 in words is "twenty-two billion, one hundred five million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3125 3800 4750 5000 6250 7600 9500 10000 11875 12500 19000 23269 23750 25000 38000 46538 47500 50000 59375 93076 95000 116345 118750 186152 190000 232690 237500 372304 442111 465380 475000 581725 884222 930760 950000 1163450 1768444 1861520 2210555 2326900 2908625 3536888 4421110 4653800 5817250 7073776 8842220 9307600 11052775 11634500 14543125 17684440 22105550 23269000 29086250 35368880 44211100 46538000 55263875 58172500 72715625 88422200 110527750 116345000 145431250 176844400 221055500 232690000 276319375 290862500 442111000 552638750 581725000 884222000 1105277500 1163450000 1381596875 2210555000 2763193750 4421110000 5526387500 11052775000 22105550000