Search a number
-
+
2270217753630 = 232525224641707
BaseRepresentation
bin100001000010010011100…
…001011101010000011110
322001000211101020000011100
4201002103201131100132
5244143401221104010
64454531301133530
7323006053340661
oct41022341352036
98030741200140
102270217753630
117a5880812632
12307b973ba2a6
1313610815cc98
147bc4446b6d8
153e0c0c272c0
hex2109385d41e

2270217753630 has 24 divisors (see below), whose sum is σ = 5902566159672. Its totient is φ = 605391400944.

The previous prime is 2270217753599. The next prime is 2270217753637. The reversal of 2270217753630 is 363577120722.

It is a happy number.

2270217753630 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 2 + 1 + 7 + 7 + 5 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270217753637) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12612320764 + ... + 12612320943.

It is an arithmetic number, because the mean of its divisors is an integer number (245940256653).

Almost surely, 22270217753630 is an apocalyptic number.

2270217753630 is an abundant number, since it is smaller than the sum of its proper divisors (3632348406042).

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

2270217753630 is a wasteful number, since it uses less digits than its factorization.

2270217753630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25224641720 (or 25224641717 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 2270217753630 in words is "two trillion, two hundred seventy billion, two hundred seventeen million, seven hundred fifty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25224641707 50449283414 75673925121 126123208535 151347850242 227021775363 252246417070 378369625605 454043550726 756739251210 1135108876815 2270217753630