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10220808 = 23313174147
BaseRepresentation
bin100110111111…
…010100001000
3201020021022110
4212333110020
510104031213
61003022320
7152606163
oct46772410
921207273
1010220808
115851054
12350a9a0
13216b220
141500ada
15d6d5c3
hex9bf508

10220808 has 128 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2826240.

The previous prime is 10220807. The next prime is 10220827. The reversal of 10220808 is 80802201.

10220808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 31972-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220807) 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, 217441 + ... + 217487.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 210220808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10220808 is an abundant number, since it is smaller than the sum of its proper divisors (20261112).

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

10220808 is a wasteful number, since it uses less digits than its factorization.

10220808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10220808 is about 3196.9998436034. Note that the first 3 decimals coincide. The cubic root of 10220808 is about 217.0176601539.

It can be divided in two parts, 102 and 20808, that added together give a triangular number (20910 = T204).

The spelling of 10220808 in words is "ten million, two hundred twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 41 47 51 52 68 78 82 94 102 104 123 136 141 156 164 188 204 221 246 282 312 328 376 408 442 492 533 564 611 663 697 799 884 984 1066 1128 1222 1326 1394 1598 1599 1768 1833 1927 2091 2132 2397 2444 2652 2788 3196 3198 3666 3854 4182 4264 4794 4888 5304 5576 5781 6392 6396 7332 7708 8364 9061 9588 10387 11562 12792 14664 15416 16728 18122 19176 20774 23124 25051 27183 31161 32759 36244 41548 46248 50102 54366 62322 65518 72488 75153 83096 98277 100204 108732 124644 131036 150306 196554 200408 217464 249288 262072 300612 393108 425867 601224 786216 851734 1277601 1703468 2555202 3406936 5110404 10220808