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1022022220000 = 255473969149
BaseRepresentation
bin11101101111101010100…
…01010111100011100000
310121201000111010010001211
432313311101113203200
5113221100142020000
62101302135035504
7133560443351035
oct16676521274340
93551014103054
101022022220000
11364489998811
121460a920bb94
13754b78ca552
143767512d38c
151b8b9cd37ba
hexedf54578e0

1022022220000 has 120 divisors (see below), whose sum is σ = 2517766713000. Its totient is φ = 408249792000.

The previous prime is 1022022219997. The next prime is 1022022220001. The reversal of 1022022220000 is 222202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14745426 + ... + 14814574.

It is an arithmetic number, because the mean of its divisors is an integer number (20981389275).

Almost surely, 21022022220000 is an apocalyptic number.

1022022220000 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 1022022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258883356500).

1022022220000 is an abundant number, since it is smaller than the sum of its proper divisors (1495744493000).

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

1022022220000 is an frugal number, since it uses more digits than its factorization.

1022022220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69918 (or 69895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 1022022220000 its reverse (222202201), we get a palindrome (1022244422201).

The spelling of 1022022220000 in words is "one trillion, twenty-two billion, twenty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 739 800 1000 1250 1478 2000 2500 2956 3695 4000 5000 5912 7390 10000 11824 14780 18475 20000 23648 29560 36950 59120 69149 73900 92375 118240 138298 147800 184750 276596 295600 345745 369500 461875 553192 591200 691490 739000 923750 1106384 1382980 1478000 1728725 1847500 2212768 2765960 2956000 3457450 3695000 5531920 6914900 7390000 8643625 11063840 13829800 14780000 17287250 27659600 34574500 43218125 51101111 55319200 69149000 86436250 102202222 138298000 172872500 204404444 255505555 276596000 345745000 408808888 511011110 691490000 817617776 1022022220 1277527775 1382980000 1635235552 2044044440 2555055550 4088088880 5110111100 6387638875 8176177760 10220222200 12775277750 20440444400 25550555500 31938194375 40880888800 51101111000 63876388750 102202222000 127752777500 204404444000 255505555000 511011110000 1022022220000