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22023211011000 = 2335319386372123
BaseRepresentation
bin1010000000111101011011…
…01010110100101110111000
32212222101202102220212212220
411000132231222310232320
510341312014004323000
6114501153511404040
74432060461613653
oct500365552645670
985871672825786
1022023211011000
117020a9a520a41
1225782b4983620
13c39a1a548334
14561d0164689a
15282d1a9551a0
hex1407adab4bb8

22023211011000 has 128 divisors (see below), whose sum is σ = 72328861612800. Its totient is φ = 5563758556800.

The previous prime is 22023211010987. The next prime is 22023211011001. The reversal of 22023211011000 is 11011232022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023211011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193129062 + ... + 193243061.

It is an arithmetic number, because the mean of its divisors is an integer number (565069231350).

Almost surely, 222023211011000 is an apocalyptic number.

22023211011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22023211011000 is an abundant number, since it is smaller than the sum of its proper divisors (50305650601800).

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

22023211011000 is a wasteful number, since it uses less digits than its factorization.

22023211011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386372166 (or 386372152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22023211011000 its reverse (11011232022), we get a palindrome (22034222243022).

The spelling of 22023211011000 in words is "twenty-two trillion, twenty-three billion, two hundred eleven million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 386372123 772744246 1159116369 1545488492 1931860615 2318232738 3090976984 3863721230 4636465476 5795581845 7341070337 7727442460 9272930952 9659303075 11591163690 14682140674 15454884920 19318606150 22023211011 23182327380 28977909225 29364281348 36705351685 38637212300 44046422022 46364654760 48296515375 57955818450 58728562696 73410703370 77274424600 88092844044 96593030750 110116055055 115911636900 144889546125 146821406740 176185688088 183526758425 193186061500 220232110110 231823273800 289779092250 293642813480 367053516850 386372123000 440464220220 550580275275 579558184500 734107033700 880928440440 917633792125 1101160550550 1159116369000 1468214067400 1835267584250 2202321101100 2752901376375 3670535168500 4404642202200 5505802752750 7341070337000 11011605505500 22023211011000