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2172400477 = 132773531709
BaseRepresentation
bin1000000101111100…
…0011001101011101
312121101202101012221
42001133003031131
513422113303402
6555322025341
7104556046042
oct20137031535
95541671187
102172400477
11a152996a5
12507648251
132880ba190
141687351c9
15caab9337
hex817c335d

2172400477 has 16 divisors (see below), whose sum is σ = 2355983280. Its totient is φ = 1991227392.

The previous prime is 2172400459. The next prime is 2172400519. The reversal of 2172400477 is 7740042712.

It is a happy number.

2172400477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 671535396 + 1500865081 = 25914^2 + 38741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2172400477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172400177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270299 + ... + 1272007.

It is an arithmetic number, because the mean of its divisors is an integer number (147248955).

Almost surely, 22172400477 is an apocalyptic number.

It is an amenable number.

2172400477 is a deficient number, since it is larger than the sum of its proper divisors (183582803).

2172400477 is a wasteful number, since it uses less digits than its factorization.

2172400477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352.

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 2172400477 is about 46609.0171211537. The cubic root of 2172400477 is about 1295.1298005978.

The spelling of 2172400477 in words is "two billion, one hundred seventy-two million, four hundred thousand, four hundred seventy-seven".

Divisors: 1 13 277 353 1709 3601 4589 22217 97781 473393 603277 1271153 6154109 7842601 167107729 2172400477