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102202223232 = 2734131120873
BaseRepresentation
bin101111100101110111…
…0100010101010000000
3100202210122111212121010
41133023232202222000
53133302232120412
6114541232200520
710245444364254
oct1371356425200
9322718455533
10102202223232
113a386543aaa
1217983399140
139839b3c005
144d3771a264
1529d274533c
hex17cbba2a80

102202223232 has 128 divisors (see below), whose sum is σ = 279003553920. Its totient is φ = 33128038400.

The previous prime is 102202223219. The next prime is 102202223261. The reversal of 102202223232 is 232322202201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 102202223199 and 102202223208.

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, 4885948 + ... + 4906820.

It is an arithmetic number, because the mean of its divisors is an integer number (2179715265).

Almost surely, 2102202223232 is an apocalyptic number.

102202223232 is a gapful number since it is divisible by the number (12) 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 102202223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139501776960).

102202223232 is an abundant number, since it is smaller than the sum of its proper divisors (176801330688).

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

102202223232 is a wasteful number, since it uses less digits than its factorization.

102202223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21242 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102202223232 its reverse (232322202201), we get a palindrome (334524425433).

The spelling of 102202223232 in words is "one hundred two billion, two hundred two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 311 328 384 492 622 656 933 984 1244 1312 1866 1968 2488 2624 3732 3936 4976 5248 7464 7872 9952 12751 14928 15744 19904 20873 25502 29856 38253 39808 41746 51004 59712 62619 76506 83492 102008 119424 125238 153012 166984 204016 250476 306024 333968 408032 500952 612048 667936 816064 855793 1001904 1224096 1335872 1632128 1711586 2003808 2448192 2567379 2671744 3423172 4007616 4896384 5134758 6491503 6846344 8015232 10269516 12983006 13692688 19474509 20539032 25966012 27385376 38949018 41078064 51932024 54770752 77898036 82156128 103864048 109541504 155796072 164312256 207728096 266151623 311592144 328624512 415456192 532303246 623184288 798454869 830912384 1064606492 1246368576 1596909738 2129212984 2492737152 3193819476 4258425968 6387638952 8516851936 12775277904 17033703872 25550555808 34067407744 51101111616 102202223232