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1224433980 = 22325711232167
BaseRepresentation
bin100100011111011…
…0110000100111100
310011022222200122200
41020332312010330
510001423341410
6321255511500
742225342240
oct11076660474
93138880580
101224433980
11579185410
122a2088590
1316689ab63
14b8890420
15727653c0
hex48fb613c

1224433980 has 432 divisors, whose sum is σ = 4869656064. Its totient is φ = 241908480.

The previous prime is 1224433949. The next prime is 1224433981. The reversal of 1224433980 is 893344221.

1224433980 is a `hidden beast` number, since 1 + 2 + 244 + 339 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224433981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7331857 + ... + 7332023.

It is an arithmetic number, because the mean of its divisors is an integer number (11272352).

Almost surely, 21224433980 is an apocalyptic number.

1224433980 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 1224433980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434828032).

1224433980 is an abundant number, since it is smaller than the sum of its proper divisors (3645222084).

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

1224433980 is a wasteful number, since it uses less digits than its factorization.

1224433980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1224433980 is about 34991.9130657356. The cubic root of 1224433980 is about 1069.8226567237.

The spelling of 1224433980 in words is "one billion, two hundred twenty-four million, four hundred thirty-three thousand, nine hundred eighty".