Search a number
-
+
1122330420 = 223259836343
BaseRepresentation
bin100001011100101…
…0110011100110100
32220012212021220100
41002321112130310
54244304033140
6303211234100
736545436231
oct10271263464
92805767810
101122330420
11526587502
12273a48930
1314b69ba53
14a90b2788
15687e7530
hex42e56734

1122330420 has 72 divisors (see below), whose sum is σ = 3408402816. Its totient is φ = 298936512.

The previous prime is 1122330413. The next prime is 1122330481. The reversal of 1122330420 is 240332211.

1122330420 is a `hidden beast` number, since 1 + 12 + 233 + 0 + 420 = 666.

It is a super-3 number, since 3×11223304203 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122330393 and 1122330402.

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, 173769 + ... + 180111.

It is an arithmetic number, because the mean of its divisors is an integer number (47338928).

Almost surely, 21122330420 is an apocalyptic number.

1122330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122330420 is an abundant number, since it is smaller than the sum of its proper divisors (2286072396).

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

1122330420 is a wasteful number, since it uses less digits than its factorization.

1122330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1122330420 is about 33501.2002770050. The cubic root of 1122330420 is about 1039.2186006694.

Adding to 1122330420 its reverse (240332211), we get a palindrome (1362662631).

The spelling of 1122330420 in words is "one billion, one hundred twenty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 983 1966 2949 3932 4915 5898 6343 8847 9830 11796 12686 14745 17694 19029 19660 25372 29490 31715 35388 38058 44235 57087 58980 63430 76116 88470 95145 114174 126860 176940 190290 228348 285435 380580 570870 1141740 6235169 12470338 18705507 24940676 31175845 37411014 56116521 62351690 74822028 93527535 112233042 124703380 187055070 224466084 280582605 374110140 561165210 1122330420