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10222300000 = 2555119293
BaseRepresentation
bin10011000010100101…
…11110101101100000
3222101102001122101201
421201102332231200
5131413402100000
64410203210544
7511214054623
oct114122765540
928342048351
1010222300000
114376249320
121b93516a54
13c6ba81a33
146cd8abdba
153ec66e96a
hex2614beb60

10222300000 has 144 divisors (see below), whose sum is σ = 27444587184. Its totient is φ = 3716800000.

The previous prime is 10222299979. The next prime is 10222300007. The reversal of 10222300000 is 322201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10222300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222300007) 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, 1095354 + ... + 1104646.

It is an arithmetic number, because the mean of its divisors is an integer number (190587411).

Almost surely, 210222300000 is an apocalyptic number.

10222300000 is a gapful number since it is divisible by the number (10) 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 10222300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722293592).

10222300000 is an abundant number, since it is smaller than the sum of its proper divisors (17222287184).

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

10222300000 is an frugal number, since it uses more digits than its factorization.

10222300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10222300000 its reverse (322201), we get a palindrome (10222622201).

The spelling of 10222300000 in words is "ten billion, two hundred twenty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 9293 10000 11000 12500 13750 18586 20000 22000 25000 27500 34375 37172 44000 46465 50000 55000 68750 74344 92930 100000 102223 110000 137500 148688 185860 204446 220000 232325 275000 297376 371720 408892 464650 511115 550000 743440 817784 929300 1022230 1100000 1161625 1486880 1635568 1858600 2044460 2323250 2555575 3271136 3717200 4088920 4646500 5111150 5808125 7434400 8177840 9293000 10222300 11616250 12777875 16355680 18586000 20444600 23232500 25555750 29040625 37172000 40889200 46465000 51111500 58081250 63889375 81778400 92930000 102223000 116162500 127778750 185860000 204446000 232325000 255557500 319446875 408892000 464650000 511115000 638893750 929300000 1022230000 1277787500 2044460000 2555575000 5111150000 10222300000