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2001474972 = 223273192449
BaseRepresentation
bin111011101001100…
…0001010110011100
312011111010110111200
41313103001112130
513044334144342
6530334315500
7100412154000
oct16723012634
95144113450
102001474972
11937864852
1247a358b90
1325b872823
1414db60700
15baaa494c
hex774c159c

2001474972 has 216 divisors, whose sum is σ = 6240780000. Its totient is φ = 540546048.

The previous prime is 2001474971. The next prime is 2001474977. The reversal of 2001474972 is 2794741002.

2001474972 is a `hidden beast` number, since 20 + 0 + 147 + 497 + 2 = 666.

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 (2001474971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4457404 + ... + 4457852.

It is an arithmetic number, because the mean of its divisors is an integer number (28892500).

Almost surely, 22001474972 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 2001474972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390000).

2001474972 is an abundant number, since it is smaller than the sum of its proper divisors (4239305028).

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

2001474972 is a wasteful number, since it uses less digits than its factorization.

2001474972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2001474972 is about 44737.8471989880. The cubic root of 2001474972 is about 1260.2306984986.

The spelling of 2001474972 in words is "two billion, one million, four hundred seventy-four thousand, nine hundred seventy-two".