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2172482380 = 2253710612767
BaseRepresentation
bin1000000101111101…
…0111001101001100
312121101220112120101
42001133113031030
513422123414010
6555323500444
7104556536605
oct20137271514
95541815511
102172482380
11a15345192
12507687724
13288118543
14168756dac
15caad373a
hex817d734c

2172482380 has 48 divisors (see below), whose sum is σ = 4691627136. Its totient is φ = 844404480.

The previous prime is 2172482371. The next prime is 2172482393. The reversal of 2172482380 is 832842712.

2172482380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783757 + ... + 786523.

It is an arithmetic number, because the mean of its divisors is an integer number (97742232).

Almost surely, 22172482380 is an apocalyptic number.

2172482380 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 2172482380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345813568).

2172482380 is an abundant number, since it is smaller than the sum of its proper divisors (2519144756).

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

2172482380 is a wasteful number, since it uses less digits than its factorization.

2172482380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2172482380 is about 46609.8957304133. The cubic root of 2172482380 is about 1295.1460765537.

The spelling of 2172482380 in words is "two billion, one hundred seventy-two million, four hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1061 2122 2767 4244 5305 5534 10610 11068 13835 21220 27670 39257 55340 78514 102379 157028 196285 204758 392570 409516 511895 785140 1023790 2047580 2935787 5871574 11743148 14678935 29357870 58715740 108624119 217248238 434496476 543120595 1086241190 2172482380