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1122213420 = 223359292237
BaseRepresentation
bin100001011100011…
…1001111000101100
32220012122100102000
41002320321320230
54244241312140
6303204532300
736544441146
oct10270717054
92805570360
101122213420
11526507609
122739b1090
1314b65a713
14a9081c96
15687c2a30
hex42e39e2c

1122213420 has 96 divisors (see below), whose sum is σ = 3496651200. Its totient is φ = 298801152.

The previous prime is 1122213413. The next prime is 1122213431. The reversal of 1122213420 is 243122211.

It is a happy number.

1122213420 is a `hidden beast` number, since 11 + 22 + 213 + 420 = 666.

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 = 1122213393 and 1122213402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500542 + ... + 502778.

It is an arithmetic number, because the mean of its divisors is an integer number (36423450).

Almost surely, 21122213420 is an apocalyptic number.

1122213420 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 1122213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748325600).

1122213420 is an abundant number, since it is smaller than the sum of its proper divisors (2374437780).

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

1122213420 is a wasteful number, since it uses less digits than its factorization.

1122213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1122213420 is about 33499.4540254017. The cubic root of 1122213420 is about 1039.1824874775.

Adding to 1122213420 its reverse (243122211), we get a palindrome (1365335631).

It can be divided in two parts, 11222 and 13420, that added together give a palindrome (24642).

The spelling of 1122213420 in words is "one billion, one hundred twenty-two million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 929 1858 2237 2787 3716 4474 4645 5574 6711 8361 8948 9290 11148 11185 13422 13935 16722 18580 20133 22370 25083 26844 27870 33444 33555 40266 41805 44740 50166 55740 60399 67110 80532 83610 100332 100665 120798 125415 134220 167220 201330 241596 250830 301995 402660 501660 603990 1207980 2078173 4156346 6234519 8312692 10390865 12469038 18703557 20781730 24938076 31172595 37407114 41563460 56110671 62345190 74814228 93517785 112221342 124690380 187035570 224442684 280553355 374071140 561106710 1122213420