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23102222000 = 2453111380777
BaseRepresentation
bin10101100000111111…
…111110111010110000
32012122000220110210212
4111200333332322300
5334303132101000
614340224443252
71445331434624
oct254077767260
965560813725
1023102222000
119885669360
124588a79528
132242300160
1411922db184
159032a2c35
hex560ffeeb0

23102222000 has 160 divisors (see below), whose sum is σ = 65627924544. Its totient is φ = 7754496000.

The previous prime is 23102221997. The next prime is 23102222009. The reversal of 23102222000 is 22220132.

Adding to 23102222000 its reverse (22220132), we get a palindrome (23124442132).

It is a super-2 number, since 2×231022220002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23102222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245612 + ... + 326388.

Almost surely, 223102222000 is an apocalyptic number.

23102222000 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 23102222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32813962272).

23102222000 is an abundant number, since it is smaller than the sum of its proper divisors (42525702544).

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

23102222000 is a wasteful number, since it uses less digits than its factorization.

23102222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80824 (or 80808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The spelling of 23102222000 in words is "twenty-three billion, one hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 17875 22000 26000 28600 35750 57200 71500 80777 143000 161554 286000 323108 403885 646216 807770 888547 1050101 1292432 1615540 1777094 2019425 2100202 3231080 3554188 4038850 4200404 4442735 5250505 6462160 7108376 8077700 8400808 8885470 10097125 10501010 11551111 14216752 16155400 16801616 17770940 20194250 21002020 22213675 23102222 26252525 32310800 35541880 40388500 42004040 44427350 46204444 52505050 57755555 71083760 80777000 84008080 88854700 92408888 105010100 111068375 115511110 131262625 161554000 177709400 184817776 210020200 222136750 231022220 262525250 288777775 355418800 420040400 444273500 462044440 525050500 577555550 888547000 924088880 1050101000 1155111100 1443888875 1777094000 2100202000 2310222200 2887777750 4620444400 5775555500 11551111000 23102222000