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1222010010 = 2335132315137
BaseRepresentation
bin100100011010110…
…0110010010011010
310011011102112121000
41020311212102122
510000313310020
6321131525430
742165625254
oct11065462232
93134375530
101222010010
1157787a231
122a12b9876
1316622c760
14b841ccd4
1572437090
hex48d6649a

1222010010 has 128 divisors (see below), whose sum is σ = 3662184960. Its totient is φ = 287705088.

The previous prime is 1222009979. The next prime is 1222010057. The reversal of 1222010010 is 100102221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1222009974 and 1222010001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73162 + ... + 88298.

It is an arithmetic number, because the mean of its divisors is an integer number (28610820).

Almost surely, 21222010010 is an apocalyptic number.

1222010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831092480).

1222010010 is an abundant number, since it is smaller than the sum of its proper divisors (2440174950).

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

1222010010 is a wasteful number, since it uses less digits than its factorization.

1222010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15189 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1222010010 is about 34957.2597610282. The cubic root of 1222010010 is about 1069.1162265998.

Adding to 1222010010 its reverse (100102221), we get a palindrome (1322112231).

The spelling of 1222010010 in words is "one billion, two hundred twenty-two million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 90 115 117 130 135 138 195 207 230 234 270 299 345 351 390 414 585 598 621 690 702 897 1035 1170 1242 1495 1755 1794 2070 2691 2990 3105 3510 4485 5382 6210 8073 8970 13455 15137 16146 26910 30274 40365 45411 75685 80730 90822 136233 151370 196781 227055 272466 348151 393562 408699 454110 590343 681165 696302 817398 983905 1044453 1180686 1362330 1740755 1771029 1967810 2043495 2088906 2951715 3133359 3481510 3542058 4086990 4525963 5222265 5313087 5903430 6266718 8855145 9051926 9400077 10444530 10626174 13577889 15666795 17710290 18800154 22629815 26565435 27155778 31333590 40733667 45259630 47000385 53130870 67889445 81467334 94000770 122201001 135778890 203668335 244402002 407336670 611005005 1222010010