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4229879940 = 22345111319312
BaseRepresentation
bin1111110000011110…
…1101100010000100
3101220210021011110000
43330013231202010
532130322124230
61535421001300
7206551246326
oct37407554204
911823234400
104229879940
111880725450
129a06b3230
1352543b150
142c1ab3616
1519b532b60
hexfc1ed884

4229879940 has 720 divisors, whose sum is σ = 16955991360. Its totient is φ = 867801600.

The previous prime is 4229879911. The next prime is 4229879977. The reversal of 4229879940 is 499789224.

4229879940 is a `hidden beast` number, since 422 + 98 + 7 + 99 + 40 = 666.

4229879940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 136447725 + ... + 136447755.

It is an arithmetic number, because the mean of its divisors is an integer number (23549988).

Almost surely, 24229879940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229879940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477995680).

4229879940 is an abundant number, since it is smaller than the sum of its proper divisors (12726111420).

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

4229879940 is a wasteful number, since it uses less digits than its factorization.

4229879940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4229879940 is about 65037.5271670134. The cubic root of 4229879940 is about 1617.2457314634.

The spelling of 4229879940 in words is "four billion, two hundred twenty-nine million, eight hundred seventy-nine thousand, nine hundred forty".