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102202222000 = 245373969149
BaseRepresentation
bin101111100101110111…
…0100010010110110000
3100202210122111210220111
41133023232202112300
53133302232101000
6114541232151104
710245444360544
oct1371356422660
9322718453814
10102202222000
113a38654308a
1217983398494
139839b3b598
144d37719a24
1529d2744cba
hex17cbba25b0

102202222000 has 80 divisors (see below), whose sum is σ = 247462956000. Its totient is φ = 40824979200.

The previous prime is 102202221973. The next prime is 102202222069. The reversal of 102202222000 is 222202201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443426 + ... + 1512574.

It is an arithmetic number, because the mean of its divisors is an integer number (3093286950).

Almost surely, 2102202222000 is an apocalyptic number.

102202222000 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 102202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123731478000).

102202222000 is an abundant number, since it is smaller than the sum of its proper divisors (145260734000).

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

102202222000 is an equidigital number, since it uses as much as digits as its factorization.

102202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69911 (or 69895 counting only the distinct ones).

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

Adding to 102202222000 its reverse (222202201), we get a palindrome (102424424201).

The spelling of 102202222000 in words is "one hundred two billion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 739 1000 1478 2000 2956 3695 5912 7390 11824 14780 18475 29560 36950 59120 69149 73900 92375 138298 147800 184750 276596 295600 345745 369500 553192 691490 739000 1106384 1382980 1478000 1728725 2765960 3457450 5531920 6914900 8643625 13829800 17287250 27659600 34574500 51101111 69149000 102202222 138298000 204404444 255505555 408808888 511011110 817617776 1022022220 1277527775 2044044440 2555055550 4088088880 5110111100 6387638875 10220222200 12775277750 20440444400 25550555500 51101111000 102202222000