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1223014320 = 2432511307503
BaseRepresentation
bin100100011100101…
…1011011110110000
310011020022120020200
41020321123132300
510001042424240
6321205235200
742210310263
oct11071333660
93136276220
101223014320
115783a5840
122a1702b00
131664c1918
14b8600cda
1572584930
hex48e5b7b0

1223014320 has 240 divisors, whose sum is σ = 4504211712. Its totient is φ = 294935040.

The previous prime is 1223014277. The next prime is 1223014327. The reversal of 1223014320 is 234103221.

1223014320 is a `hidden beast` number, since 1 + 2 + 230 + 1 + 432 + 0 = 666.

1223014320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1223014293 and 1223014302.

It is not an unprimeable number, because it can be changed into a prime (1223014327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2431189 + ... + 2431691.

Almost surely, 21223014320 is an apocalyptic number.

1223014320 is a gapful number since it is divisible by the number (10) 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 1223014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1223014320 is an abundant number, since it is smaller than the sum of its proper divisors (3281197392).

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

1223014320 is a wasteful number, since it uses less digits than its factorization.

1223014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223014320 is about 34971.6216381225. The cubic root of 1223014320 is about 1069.4090311039.

Adding to 1223014320 its reverse (234103221), we get a palindrome (1457117541).

It can be divided in two parts, 122301 and 4320, that added together give a palindrome (126621).

The spelling of 1223014320 in words is "one billion, two hundred twenty-three million, fourteen thousand, three hundred twenty".