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1222540800 = 29352133179
BaseRepresentation
bin100100011011110…
…0111111000000000
310011012102111200220
41020313213320000
510000432301200
6321151143040
742203265615
oct11067477000
93135374626
101222540800
11578101aa8
122a1514a80
13166387230
14b851a50c
15724de4a0
hex48de7e00

1222540800 has 480 divisors, whose sum is σ = 4546375680. Its totient is φ = 287539200.

The previous prime is 1222540777. The next prime is 1222540801. The reversal of 1222540800 is 80452221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222540801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15475161 + ... + 15475239.

It is an arithmetic number, because the mean of its divisors is an integer number (9471616).

Almost surely, 21222540800 is an apocalyptic number.

1222540800 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 1222540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273187840).

1222540800 is an abundant number, since it is smaller than the sum of its proper divisors (3323834880).

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

1222540800 is a wasteful number, since it uses less digits than its factorization.

1222540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1222540800 is about 34964.8509220331. The cubic root of 1222540800 is about 1069.2709973067.

The spelling of 1222540800 in words is "one billion, two hundred twenty-two million, five hundred forty thousand, eight hundred".