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2106269466 = 23741229833
BaseRepresentation
bin111110110001011…
…0001111100011010
312102210022120112020
41331202301330122
513303201110331
6545000355310
7103123665210
oct17542617432
95383276466
102106269466
11990a30474
124a9475b36
132774a46c2
1415da3ccb0
15c4da4c96
hex7d8b1f1a

2106269466 has 48 divisors (see below), whose sum is σ = 4934782272. Its totient is φ = 587093760.

The previous prime is 2106269447. The next prime is 2106269467. The reversal of 2106269466 is 6649626012.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2106269467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55686 + ... + 85518.

It is an arithmetic number, because the mean of its divisors is an integer number (102807964).

Almost surely, 22106269466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106269466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467391136).

2106269466 is an abundant number, since it is smaller than the sum of its proper divisors (2828512806).

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

2106269466 is a wasteful number, since it uses less digits than its factorization.

2106269466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29927 (or 29886 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2106269466 is about 45894.1114523421. Note that the first 3 decimals coincide. The cubic root of 2106269466 is about 1281.8522715152.

The spelling of 2106269466 in words is "two billion, one hundred six million, two hundred sixty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1681 1722 3362 5043 10086 11767 23534 29833 35301 59666 70602 89499 178998 208831 417662 626493 1223153 1252986 2446306 3669459 7338918 8562071 17124142 25686213 50149273 51372426 100298546 150447819 300895638 351044911 702089822 1053134733 2106269466