Search a number
-
+
1223140152 = 2331333711633
BaseRepresentation
bin100100011100111…
…1010001100111000
310011020112221212010
41020321322030320
510001110441102
6321212045520
742211343163
oct11071721470
93136487763
101223140152
11578481333
122a17638a0
13166536c90
14b8634ada
15725abd6c
hex48e7a338

1223140152 has 64 divisors (see below), whose sum is σ = 3303125280. Its totient is φ = 375201792.

The previous prime is 1223140147. The next prime is 1223140153. The reversal of 1223140152 is 2510413221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223140153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99328 + ... + 110960.

Almost surely, 21223140152 is an apocalyptic number.

1223140152 is a gapful number since it is divisible by the number (12) 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 1223140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651562640).

1223140152 is an abundant number, since it is smaller than the sum of its proper divisors (2079985128).

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

1223140152 is a wasteful number, since it uses less digits than its factorization.

1223140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1223140152 is about 34973.4206505455. The cubic root of 1223140152 is about 1069.4457058618.

Adding to 1223140152 its reverse (2510413221), we get a palindrome (3733553373).

The spelling of 1223140152 in words is "one billion, two hundred twenty-three million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 337 674 1011 1348 2022 2696 4044 4381 8088 8762 11633 13143 17524 23266 26286 34899 35048 46532 52572 69798 93064 105144 139596 151229 279192 302458 453687 604916 907374 1209832 1814748 3629496 3920321 7840642 11760963 15681284 23521926 31362568 47043852 50964173 94087704 101928346 152892519 203856692 305785038 407713384 611570076 1223140152