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1223060040 = 233351132463
BaseRepresentation
bin100100011100110…
…0110101001001000
310011020101212222000
41020321212221020
510001100410130
6321210231000
742210560466
oct11071465110
93136355860
101223060040
11578427124
122a1725460
13166509687
14b8613836
1572593260
hex48e66a48

1223060040 has 64 divisors (see below), whose sum is σ = 4076870400. Its totient is φ = 326149056.

The previous prime is 1223060017. The next prime is 1223060089. The reversal of 1223060040 is 400603221.

It is a happy number.

1223060040 is a `hidden beast` number, since 1 + 2 + 23 + 0 + 600 + 40 = 666.

It is a super-2 number, since 2×12230600402 = 2991751722889603200, which contains 22 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 = 1223059995 and 1223060022.

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 15 ways as a sum of consecutive naturals, for example, 565152 + ... + 567311.

It is an arithmetic number, because the mean of its divisors is an integer number (63701100).

Almost surely, 21223060040 is an apocalyptic number.

1223060040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223060040 is an abundant number, since it is smaller than the sum of its proper divisors (2853810360).

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

1223060040 is a wasteful number, since it uses less digits than its factorization.

1223060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132483 (or 1132473 counting only the distinct ones).

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

The square root of 1223060040 is about 34972.2753048754. The cubic root of 1223060040 is about 1069.4223568600.

Adding to 1223060040 its reverse (400603221), we get a palindrome (1623663261).

The spelling of 1223060040 in words is "one billion, two hundred twenty-three million, sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1132463 2264926 3397389 4529852 5662315 6794778 9059704 10192167 11324630 13589556 16986945 20384334 22649260 27179112 30576501 33973890 40768668 45298520 50960835 61153002 67947780 81537336 101921670 122306004 135895560 152882505 203843340 244612008 305765010 407686680 611530020 1223060040