Search a number
-
+
1223001024 = 2637909971
BaseRepresentation
bin100100011100101…
…1000001111000000
310011020021220000020
41020321120033000
510001042013044
6321205053440
742210223440
oct11071301700
93136256006
101223001024
11578396853
122a16b7280
131664b885b
14b85da120
1572580a19
hex48e583c0

1223001024 has 56 divisors (see below), whose sum is σ = 3698126208. Its totient is φ = 349428480.

The previous prime is 1223000981. The next prime is 1223001061. The reversal of 1223001024 is 4201003221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1223000994 and 1223001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453642 + ... + 456329.

It is an arithmetic number, because the mean of its divisors is an integer number (66037968).

Almost surely, 21223001024 is an apocalyptic number.

1223001024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1223001024 is an abundant number, since it is smaller than the sum of its proper divisors (2475125184).

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

1223001024 is an equidigital number, since it uses as much as digits as its factorization.

1223001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909993 (or 909983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1223001024 is about 34971.4315406161. The cubic root of 1223001024 is about 1069.4051557298.

Adding to 1223001024 its reverse (4201003221), we get a palindrome (5424004245).

The spelling of 1223001024 in words is "one billion, two hundred twenty-three million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 909971 1819942 2729913 3639884 5459826 6369797 7279768 10919652 12739594 14559536 19109391 21839304 25479188 29119072 38218782 43678608 50958376 58238144 76437564 87357216 101916752 152875128 174714432 203833504 305750256 407667008 611500512 1223001024