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103202220 = 223511271577
BaseRepresentation
bin1100010011010…
…11110110101100
321012012012211110
412021223312230
5202404432340
614123552020
72362130052
oct611536654
9235165743
10103202220
11532893a0
122a68b610
13184c5204
14d9c61d2
1590d8680
hex626bdac

103202220 has 96 divisors (see below), whose sum is σ = 316947456. Its totient is φ = 24883200.

The previous prime is 103202161. The next prime is 103202233. The reversal of 103202220 is 22202301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103202196 and 103202205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178572 + ... + 179148.

It is an arithmetic number, because the mean of its divisors is an integer number (3301536).

Almost surely, 2103202220 is an apocalyptic number.

103202220 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 103202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158473728).

103202220 is an abundant number, since it is smaller than the sum of its proper divisors (213745236).

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

103202220 is a wasteful number, since it uses less digits than its factorization.

103202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103202220 is about 10158.8493442909. The cubic root of 103202220 is about 469.0613831518.

Adding to 103202220 its reverse (22202301), we get a palindrome (125404521).

The spelling of 103202220 in words is "one hundred three million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 271 330 542 577 660 813 1084 1154 1355 1626 1731 2308 2710 2885 2981 3252 3462 4065 5420 5770 5962 6347 6924 8130 8655 8943 11540 11924 12694 14905 16260 17310 17886 19041 25388 29810 31735 34620 35772 38082 44715 59620 63470 76164 89430 95205 126940 156367 178860 190410 312734 380820 469101 625468 781835 938202 1563670 1720037 1876404 2345505 3127340 3440074 4691010 5160111 6880148 8600185 9382020 10320222 17200370 20640444 25800555 34400740 51601110 103202220