Search a number
-
+
3623228448 = 253729892089
BaseRepresentation
bin1101011111110110…
…0001010000100000
3100100111202002001020
43113331201100200
524410021302243
61355310205440
7155533635150
oct32775412040
910314662036
103623228448
11159a244184
128514b3880
13459853b78
142652b8760
1516314e283
hexd7f61420

3623228448 has 192 divisors, whose sum is σ = 11376288000. Its totient is φ = 987807744.

The previous prime is 3623228437. The next prime is 3623228459. The reversal of 3623228448 is 8448223263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3623228437) and next prime (3623228459).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1733388 + ... + 1735476.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 23623228448 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 3623228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144000).

3623228448 is an abundant number, since it is smaller than the sum of its proper divisors (7753059552).

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

3623228448 is a wasteful number, since it uses less digits than its factorization.

3623228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2219 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 3623228448 is about 60193.2591574837. The cubic root of 3623228448 is about 1535.9081298134.

The spelling of 3623228448 in words is "three billion, six hundred twenty-three million, two hundred twenty-eight thousand, four hundred forty-eight".