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102225340 = 22572353599
BaseRepresentation
bin1100001011111…
…01010110111100
321010100120210201
412011331112330
5202132202330
614051013244
72350621030
oct605752674
9233316721
10102225340
1152781458
122a29a224
1318242689
14d8101c0
158e93eca
hex617d5bc

102225340 has 96 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 32837376.

The previous prime is 102225313. The next prime is 102225349. The reversal of 102225340 is 43522201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170361 + ... + 170959.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2102225340 is an apocalyptic number.

102225340 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 102225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

102225340 is an abundant number, since it is smaller than the sum of its proper divisors (159048260).

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

102225340 is a wasteful number, since it uses less digits than its factorization.

102225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 102225340 is about 10110.6547760271. The cubic root of 102225340 is about 467.5766924997.

Adding to 102225340 its reverse (43522201), we get a palindrome (145747541).

It can be divided in two parts, 1022 and 25340, that added together give a palindrome (26362).

The spelling of 102225340 in words is "one hundred two million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 106 115 140 161 212 230 265 322 371 460 530 599 644 742 805 1060 1198 1219 1484 1610 1855 2396 2438 2995 3220 3710 4193 4876 5990 6095 7420 8386 8533 11980 12190 13777 16772 17066 20965 24380 27554 31747 34132 41930 42665 55108 63494 68885 83860 85330 96439 126988 137770 158735 170660 192878 222229 275540 317470 385756 444458 482195 634940 730181 888916 964390 1111145 1460362 1928780 2222290 2920724 3650905 4444580 5111267 7301810 10222534 14603620 20445068 25556335 51112670 102225340