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1222220100 = 2235217367653
BaseRepresentation
bin100100011011001…
…1001100101000100
310011011211012210010
41020312121211010
510000342020400
6321140230220
742200461623
oct11066314504
93134735703
101222220100
11577a03062
122a139b370
131662a427a
14b84756ba
1572479450
hex48d99944

1222220100 has 144 divisors (see below), whose sum is σ = 3760259328. Its totient is φ = 305448960.

The previous prime is 1222220081. The next prime is 1222220107. The reversal of 1222220100 is 10222221.

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

It is not an unprimeable number, because it can be changed into a prime (1222220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871374 + ... + 1872026.

It is an arithmetic number, because the mean of its divisors is an integer number (26112912).

Almost surely, 21222220100 is an apocalyptic number.

1222220100 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 1222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880129664).

1222220100 is an abundant number, since it is smaller than the sum of its proper divisors (2538039228).

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

1222220100 is a wasteful number, since it uses less digits than its factorization.

1222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1222220100 is about 34960.2645870995. The cubic root of 1222220100 is about 1069.1774911709.

Adding to 1222220100 its reverse (10222221), we get a palindrome (1232442321).

It can be divided in two parts, 122 and 2220100, that added together give a palindrome (2220222).

The spelling of 1222220100 in words is "one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 367 425 510 653 734 850 1020 1101 1275 1306 1468 1700 1835 1959 2202 2550 2612 3265 3670 3918 4404 5100 5505 6239 6530 7340 7836 9175 9795 11010 11101 12478 13060 16325 18350 18717 19590 22020 22202 24956 27525 31195 32650 33303 36700 37434 39180 44404 48975 55050 55505 62390 65300 66606 74868 93585 97950 110100 111010 124780 133212 155975 166515 187170 195900 222020 239651 277525 311950 333030 374340 467925 479302 555050 623900 666060 718953 832575 935850 958604 1110100 1198255 1437906 1665150 1871700 2396510 2875812 3330300 3594765 4074067 4793020 5991275 7189530 8148134 11982550 12222201 14379060 16296268 17973825 20370335 23965100 24444402 35947650 40740670 48888804 61111005 71895300 81481340 101851675 122222010 203703350 244444020 305555025 407406700 611110050 1222220100