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2132247492 = 2232599911013
BaseRepresentation
bin111111100010111…
…1000001111000100
312111121012101200100
41333011320033010
513331323404432
6551325244100
7103560542664
oct17705701704
95447171610
102132247492
119a4664111
124b6103630
1327c99bb0b
141632821a4
15c72d707c
hex7f1783c4

2132247492 has 72 divisors (see below), whose sum is σ = 5492148480. Its totient is φ = 697308480.

The previous prime is 2132247473. The next prime is 2132247539. The reversal of 2132247492 is 2947422312.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104378 + ... + 2105390.

It is an arithmetic number, because the mean of its divisors is an integer number (76279840).

Almost surely, 22132247492 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 2132247492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746074240).

2132247492 is an abundant number, since it is smaller than the sum of its proper divisors (3359900988).

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

2132247492 is a wasteful number, since it uses less digits than its factorization.

2132247492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2068 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2132247492 is about 46176.2654618149. The cubic root of 2132247492 is about 1287.1007323492.

The spelling of 2132247492 in words is "two billion, one hundred thirty-two million, two hundred forty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 991 1013 1062 1982 2026 2124 2973 3039 3964 4052 5946 6078 8919 9117 11892 12156 17838 18234 35676 36468 58469 59767 116938 119534 175407 179301 233876 239068 350814 358602 526221 537903 701628 717204 1003883 1052442 1075806 2007766 2104884 2151612 3011649 4015532 6023298 9034947 12046596 18069894 36139788 59229097 118458194 177687291 236916388 355374582 533061873 710749164 1066123746 2132247492