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2200122211000 = 23537673346681
BaseRepresentation
bin100000000001000001100…
…000001011101010111000
321210022220022002111102211
4200001001200023222320
5242021322241223000
64402415554304504
7314645036142250
oct40010140135270
97708808074384
102200122211000
117790806a3a0a
122b6494588134
1312c616ca293c
14786b4ca4960
153c36c0427ba
hex2004180bab8

2200122211000 has 128 divisors (see below), whose sum is σ = 5884755327360. Its totient is φ = 754199424000.

The previous prime is 2200122210991. The next prime is 2200122211003. The reversal of 2200122211000 is 1122210022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200122211003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47107660 + ... + 47154340.

It is an arithmetic number, because the mean of its divisors is an integer number (45974650995).

Almost surely, 22200122211000 is an apocalyptic number.

2200122211000 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 2200122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942377663680).

2200122211000 is an abundant number, since it is smaller than the sum of its proper divisors (3684633116360).

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

2200122211000 is a wasteful number, since it uses less digits than its factorization.

2200122211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53442 (or 53428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2200122211000 its reverse (1122210022), we get a palindrome (2201244421022).

The spelling of 2200122211000 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 6733 7000 13466 26932 33665 46681 47131 53864 67330 93362 94262 134660 168325 186724 188524 233405 235655 269320 326767 336650 373448 377048 466810 471310 653534 673300 841625 933620 942620 1167025 1178275 1307068 1346600 1633835 1683250 1867240 1885240 2334050 2356550 2614136 3267670 3366500 4668100 4713100 5835125 5891375 6535340 6733000 8169175 9336200 9426200 11670250 11782750 13070680 16338350 23340500 23565500 32676700 40845875 46681000 47131000 65353400 81691750 163383500 314303173 326767000 628606346 1257212692 1571515865 2200122211 2514425384 3143031730 4400244422 6286063460 7857579325 8800488844 11000611055 12572126920 15715158650 17600977688 22001222110 31430317300 39287896625 44002444220 55003055275 62860634600 78575793250 88004888440 110006110550 157151586500 220012221100 275015276375 314303173000 440024442200 550030552750 1100061105500 2200122211000