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2055568320 = 263351318301
BaseRepresentation
bin111101010000101…
…0111101111000000
312022020220200122000
41322201113233000
513202211141240
6535545544000
7101640020361
oct17241275700
95266820560
102055568320
119653509a3
124944a5000
13269b32120
14157001b68
15c06dc430
hex7a857bc0

2055568320 has 224 divisors, whose sum is σ = 7809829440. Its totient is φ = 505958400.

The previous prime is 2055568313. The next prime is 2055568321. The reversal of 2055568320 is 238655502.

It is a happy number.

2055568320 is a `hidden beast` number, since 2 + 0 + 5 + 556 + 83 + 20 = 666.

2055568320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20555683202 = 8450722236375244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055568321) 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, 103170 + ... + 121470.

It is an arithmetic number, because the mean of its divisors is an integer number (34865310).

Almost surely, 22055568320 is an apocalyptic number.

2055568320 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 2055568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904914720).

2055568320 is an abundant number, since it is smaller than the sum of its proper divisors (5754261120).

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

2055568320 is a wasteful number, since it uses less digits than its factorization.

2055568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2055568320 is about 45338.3757979926. The cubic root of 2055568320 is about 1271.4832361537.

The spelling of 2055568320 in words is "two billion, fifty-five million, five hundred sixty-eight thousand, three hundred twenty".