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103220208 = 24327137877
BaseRepresentation
bin1100010011100…
…00001111110000
321012020010111200
412021300033300
5202411021313
614124211200
72362233360
oct611601760
9235203450
10103220208
11532a0963
122a699b00
1318500460
14d9cc9a0
1590ddb73
hex62703f0

103220208 has 120 divisors (see below), whose sum is σ = 355581408. Its totient is φ = 27219456.

The previous prime is 103220191. The next prime is 103220219. The reversal of 103220208 is 802022301.

It is a happy number.

It is a super-2 number, since 2×1032202082 = 21308822679126528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9166 + ... + 17042.

Almost surely, 2103220208 is an apocalyptic number.

103220208 is a gapful number since it is divisible by the number (18) 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 103220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177790704).

103220208 is an abundant number, since it is smaller than the sum of its proper divisors (252361200).

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

103220208 is a wasteful number, since it uses less digits than its factorization.

103220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103220208 is about 10159.7346422040. The cubic root of 103220208 is about 469.0886338123.

Adding to 103220208 its reverse (802022301), we get a palindrome (905242509).

The spelling of 103220208 in words is "one hundred three million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 7877 13104 15754 23631 31508 47262 55139 63016 70893 94524 102401 110278 126032 141786 165417 189048 204802 220556 283572 307203 330834 378096 409604 441112 496251 567144 614406 661668 716807 819208 882224 921609 992502 1134288 1228812 1323336 1433614 1638416 1843218 1985004 2150421 2457624 2646672 2867228 3686436 3970008 4300842 4915248 5734456 6451263 7372872 7940016 8601684 11468912 12902526 14745744 17203368 25805052 34406736 51610104 103220208