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2230074720 = 253351633167
BaseRepresentation
bin1000010011101100…
…0011110101100000
312202102021112102000
42010323003311200
514031344342340
61005142124000
7106156215366
oct20473036540
95672245360
102230074720
11a44901165
12522a20600
13297031653
14172269636
15d0bacd30
hex84ec3d60

2230074720 has 192 divisors, whose sum is σ = 7855626240. Its totient is φ = 590851584.

The previous prime is 2230074703. The next prime is 2230074727. The reversal of 2230074720 is 274700322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230074727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702577 + ... + 705743.

It is an arithmetic number, because the mean of its divisors is an integer number (40914720).

Almost surely, 22230074720 is an apocalyptic number.

2230074720 is a gapful number since it is divisible by the number (20) 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 2230074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927813120).

2230074720 is an abundant number, since it is smaller than the sum of its proper divisors (5625551520).

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

2230074720 is a wasteful number, since it uses less digits than its factorization.

2230074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2230074720 is about 47223.6669478345. Note that the first 3 decimals coincide. The cubic root of 2230074720 is about 1306.4911479270.

It can be divided in two parts, 22300 and 74720, that added together give a triangular number (97020 = T440).

The spelling of 2230074720 in words is "two billion, two hundred thirty million, seventy-four thousand, seven hundred twenty".