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1122024225 = 352717125717
BaseRepresentation
bin100001011100000…
…1011101100100001
32220012021201212210
41002320023230201
54244214233400
6303200512333
736543022440
oct10270135441
92805251783
101122024225
11526398453
1227391b6a9
1314b5c257a
14a9032d57
1568786950
hex42e0bb21

1122024225 has 48 divisors (see below), whose sum is σ = 2244820608. Its totient is φ = 482749440.

The previous prime is 1122024193. The next prime is 1122024247. The reversal of 1122024225 is 5224202211.

It is not a de Polignac number, because 1122024225 - 25 = 1122024193 is a prime.

It is a super-2 number, since 2×11220242252 = 2517876722973701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

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, 53934 + ... + 71783.

It is an arithmetic number, because the mean of its divisors is an integer number (46767096).

Almost surely, 21122024225 is an apocalyptic number.

1122024225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1122024225 is an abundant number, since it is smaller than the sum of its proper divisors (1122796383).

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

1122024225 is a wasteful number, since it uses less digits than its factorization.

1122024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125754 (or 125749 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1122024225 is about 33496.6300543801. The cubic root of 1122024225 is about 1039.1240852826.

Adding to 1122024225 its reverse (5224202211), we get a palindrome (6346226436).

The spelling of 1122024225 in words is "one billion, one hundred twenty-two million, twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 125717 377151 628585 880019 1885755 2137189 2640057 3142925 4400095 6411567 9428775 10685945 13200285 14960323 22000475 32057835 44880969 53429725 66001425 74801615 160289175 224404845 374008075 1122024225