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1223999920 = 2451113106993
BaseRepresentation
bin100100011110100…
…1100000110110000
310011022011122020101
41020331030012300
510001320444140
6321242322144
742221553613
oct11075140660
93138148211
101223999920
11578a09290
122a1ab9354
13166778410
14b87ba17a
15726cb99a
hex48f4c1b0

1223999920 has 80 divisors (see below), whose sum is σ = 3343348512. Its totient is φ = 410849280.

The previous prime is 1223999891. The next prime is 1223999963. The reversal of 1223999920 is 299993221.

It is a tau number, because it is divible by the number of its divisors (80).

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, 42057 + ... + 64936.

Almost surely, 21223999920 is an apocalyptic number.

1223999920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223999920 is an abundant number, since it is smaller than the sum of its proper divisors (2119348592).

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

1223999920 is a wasteful number, since it uses less digits than its factorization.

1223999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107030 (or 107024 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The square root of 1223999920 is about 34985.7102257479. The cubic root of 1223999920 is about 1069.6962249429.

It can be divided in two parts, 12 and 23999920, that added together give a palindrome (23999932).

The spelling of 1223999920 in words is "one billion, two hundred twenty-three million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 106993 213986 427972 534965 855944 1069930 1176923 1390909 1711888 2139860 2353846 2781818 4279720 4707692 5563636 5884615 6954545 8559440 9415384 11127272 11769230 13909090 15299999 18830768 22254544 23538460 27818180 30599998 47076920 55636360 61199996 76499995 94153840 111272720 122399992 152999990 244799984 305999980 611999960 1223999920