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2146640625 = 32574371
BaseRepresentation
bin111111111110011…
…0010001011110001
312112121021122100100
41333330302023301
513344020000000
6553001543013
7104124100323
oct17774621361
95477248310
102146640625
11a017a4968
124baaa4a69
1328296b16c
1416514b613
15c86cba00
hex7ff322f1

2146640625 has 96 divisors (see below), whose sum is σ = 4021864704. Its totient is φ = 1102500000.

The previous prime is 2146640621. The next prime is 2146640723. The reversal of 2146640625 is 5260466412.

2146640625 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 640 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 2146640625 - 22 = 2146640621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2146640625.

It is not an unprimeable number, because it can be changed into a prime (2146640621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30234340 + ... + 30234410.

It is an arithmetic number, because the mean of its divisors is an integer number (41894424).

Almost surely, 22146640625 is an apocalyptic number.

2146640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2146640625 is a deficient number, since it is larger than the sum of its proper divisors (1875224079).

2146640625 is an frugal number, since it uses more digits than its factorization.

2146640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2146640625 is about 46331.8532437458. The cubic root of 2146640625 is about 1289.9903100047.

The spelling of 2146640625 in words is "two billion, one hundred forty-six million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 71 75 125 129 213 215 225 355 375 387 625 639 645 1065 1075 1125 1775 1875 1935 3053 3125 3195 3225 5325 5375 5625 8875 9159 9375 9675 15265 15625 15975 16125 26625 26875 27477 28125 44375 45795 46875 48375 76325 78125 79875 80625 133125 134375 137385 140625 221875 228975 234375 241875 381625 399375 403125 665625 671875 686925 703125 1109375 1144875 1209375 1908125 1996875 2015625 3328125 3359375 3434625 5546875 5724375 6046875 9540625 9984375 10078125 16640625 17173125 28621875 30234375 47703125 49921875 85865625 143109375 238515625 429328125 715546875 2146640625