Search a number
-
+
1223887968 = 2535157393
BaseRepresentation
bin100100011110011…
…0000110001100000
310011021221221200000
41020330300301200
510001303403333
6321240100000
742220606332
oct11074606140
93137857600
101223887968
11578942166
122a1a64600
13166739484
14b878b452
15726a8713
hex48f30c60

1223887968 has 72 divisors (see below), whose sum is σ = 3609359208. Its totient is φ = 407960064.

The previous prime is 1223887949. The next prime is 1223887969. The reversal of 1223887968 is 8697883221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223887969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70921 + ... + 86472.

It is an arithmetic number, because the mean of its divisors is an integer number (50129989).

Almost surely, 21223887968 is an apocalyptic number.

1223887968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1223887968 is an abundant number, since it is smaller than the sum of its proper divisors (2385471240).

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

1223887968 is an equidigital number, since it uses as much as digits as its factorization.

1223887968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157418 (or 157398 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1223887968 is about 34984.1102216421. The cubic root of 1223887968 is about 1069.6636110293.

The spelling of 1223887968 in words is "one billion, two hundred twenty-three million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 157393 314786 472179 629572 944358 1259144 1416537 1888716 2518288 2833074 3777432 4249611 5036576 5666148 7554864 8499222 11332296 12748833 15109728 16998444 22664592 25497666 33996888 38246499 45329184 50995332 67993776 76492998 101990664 135987552 152985996 203981328 305971992 407962656 611943984 1223887968