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102201223220 = 225171409213337
BaseRepresentation
bin101111100101110101…
…0101110100000110100
3100202210120122001211122
41133023222232200310
53133302003120340
6114541154523112
710245433030625
oct1371352564064
9322716561748
10102201223220
113a385a20748
1217982b96498
13983987baa5
144d37539a4c
1529d25e8db5
hex17cbaae834

102201223220 has 48 divisors (see below), whose sum is σ = 227409774480. Its totient is φ = 38448267264.

The previous prime is 102201223087. The next prime is 102201223303. The reversal of 102201223220 is 22322102201.

It can be written as a sum of positive squares in 8 ways, for example, as 21384967696 + 80816255524 = 146236^2 + 284282^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 372392 + ... + 585728.

It is an arithmetic number, because the mean of its divisors is an integer number (4737703635).

Almost surely, 2102201223220 is an apocalyptic number.

102201223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201223220 is an abundant number, since it is smaller than the sum of its proper divisors (125208551260).

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

102201223220 is a wasteful number, since it uses less digits than its factorization.

102201223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214772 (or 214770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102201223220 its reverse (22322102201), we get a palindrome (124523325421).

The spelling of 102201223220 in words is "one hundred two billion, two hundred one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1409 2818 5636 7045 14090 23953 28180 47906 95812 119765 213337 239530 426674 479060 853348 1066685 2133370 3626729 4266740 7253458 14506916 18133645 36267290 72534580 300591833 601183666 1202367332 1502959165 3005918330 5110061161 6011836660 10220122322 20440244644 25550305805 51100611610 102201223220