Search a number
-
+
2232979140672 = 2634771866689
BaseRepresentation
bin100000011111100111111…
…011011011000001000000
321220110201011012110120000
4200133213323123001000
5243041120130000142
64425452204320000
7320220206345160
oct40374773330100
97813634173500
102232979140672
11791001569545
12300924243000
13132752208567
147a1109125a0
153d14189e14c
hex207e7edb040

2232979140672 has 280 divisors, whose sum is σ = 7671412932480. Its totient is φ = 629007482880.

The previous prime is 2232979140641. The next prime is 2232979140683. The reversal of 2232979140672 is 2760419792322.

It is a happy number.

2232979140672 is a `hidden beast` number, since 223 + 2 + 9 + 7 + 9 + 1 + 406 + 7 + 2 = 666.

It is a super-3 number, since 3×22329791406723 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2143104 + ... + 3009792.

Almost surely, 22232979140672 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 2232979140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835706466240).

2232979140672 is an abundant number, since it is smaller than the sum of its proper divisors (5438433791808).

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

2232979140672 is an equidigital number, since it uses as much as digits as its factorization.

2232979140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866791 (or 866772 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2232979140672 in words is "two trillion, two hundred thirty-two billion, nine hundred seventy-nine million, one hundred forty thousand, six hundred seventy-two".