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1228216000 = 26531117821
BaseRepresentation
bin100100100110101…
…0001011011000000
310011121002211121111
41021031101123000
510003410403000
6321512533104
742302443444
oct11115213300
93147084544
101228216000
11580328950
122a33b1194
131675c343b
14b9196824
1572c60cba
hex493516c0

1228216000 has 224 divisors, whose sum is σ = 3517660224. Its totient is φ = 419840000.

The previous prime is 1228215997. The next prime is 1228216013. The reversal of 1228216000 is 6128221.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1495590 + ... + 1496410.

Almost surely, 21228216000 is an apocalyptic number.

1228216000 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 1228216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758830112).

1228216000 is an abundant number, since it is smaller than the sum of its proper divisors (2289444224).

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

1228216000 is a wasteful number, since it uses less digits than its factorization.

1228216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1228216000 is about 35045.9127431431. The cubic root of 1228216000 is about 1070.9230105857.

It can be divided in two parts, 122821 and 6000, that added together give a palindrome (128821).

The spelling of 1228216000 in words is "one billion, two hundred twenty-eight million, two hundred sixteen thousand".