Search a number
-
+
1223313408 = 2113322123
BaseRepresentation
bin100100011101010…
…0100100000000000
310011020212202112000
41020322210200000
510001132012113
6321215504000
742212664252
oct11072444000
93136782460
101223313408
1157858a519
122a1828000
13166597ab5
14b867bcd2
15725e3373
hex48ea4800

1223313408 has 96 divisors (see below), whose sum is σ = 3623911200. Its totient is φ = 407752704.

The previous prime is 1223313401. The next prime is 1223313437. The reversal of 1223313408 is 8043133221.

1223313408 is a `hidden beast` number, since 1 + 223 + 31 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1223313401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44235 + ... + 66357.

It is an arithmetic number, because the mean of its divisors is an integer number (37749075).

Almost surely, 21223313408 is an apocalyptic number.

1223313408 is a gapful number since it is divisible by the number (18) 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 1223313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811955600).

1223313408 is an abundant number, since it is smaller than the sum of its proper divisors (2400597792).

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

1223313408 is an equidigital number, since it uses as much as digits as its factorization.

1223313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22154 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1223313408 is about 34975.8975295846. The cubic root of 1223313408 is about 1069.4961986139.

Adding to 1223313408 its reverse (8043133221), we get a palindrome (9266446629).

The spelling of 1223313408 in words is "one billion, two hundred twenty-three million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 22123 27648 44246 55296 66369 88492 132738 176984 199107 265476 353968 398214 530952 597321 707936 796428 1061904 1194642 1415872 1592856 2123808 2389284 2831744 3185712 4247616 4778568 5663488 6371424 8495232 9557136 11326976 12742848 16990464 19114272 22653952 25485696 33980928 38228544 45307904 50971392 67961856 76457088 101942784 135923712 152914176 203885568 305828352 407771136 611656704 1223313408