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4223048400 = 243552231889
BaseRepresentation
bin1111101110110110…
…1001101011010000
3101220022102002100000
43323231221223100
532122100022100
61535014330000
7206436214314
oct37355515320
911808362300
104223048400
11187788984a
1299a359900
13523bb880c
142c0c15b44
1519ab33900
hexfbb69ad0

4223048400 has 360 divisors, whose sum is σ = 15867109440. Its totient is φ = 1076613120.

The previous prime is 4223048399. The next prime is 4223048413. The reversal of 4223048400 is 48403224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2234656 + ... + 2236544.

It is an arithmetic number, because the mean of its divisors is an integer number (44075304).

Almost surely, 24223048400 is an apocalyptic number.

4223048400 is a gapful number since it is divisible by the number (40) 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 4223048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933554720).

4223048400 is an abundant number, since it is smaller than the sum of its proper divisors (11644061040).

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

4223048400 is a wasteful number, since it uses less digits than its factorization.

4223048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4223048400 is about 64984.9859582966. The cubic root of 4223048400 is about 1616.3746088541.

The spelling of 4223048400 in words is "four billion, two hundred twenty-three million, forty-eight thousand, four hundred".