Search a number
-
+
1000225445214 = 238291408114281
BaseRepresentation
bin11101000111000100001…
…01010001010101011110
310112121202102122020011210
432203202011101111132
5112341430203221324
62043255222325250
7132156343001502
oct16434205212536
93477672566153
101000225445214
11356214208256
12141a25589826
1373422bc1888
14365a8370302
151b041449d29
hexe8e215155e

1000225445214 has 32 divisors (see below), whose sum is σ = 2003146475040. Its totient is φ = 332959334400.

The previous prime is 1000225445213. The next prime is 1000225445227. The reversal of 1000225445214 is 4125445220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000225445213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70031754 + ... + 70046034.

It is an arithmetic number, because the mean of its divisors is an integer number (62598327345).

Almost surely, 21000225445214 is an apocalyptic number.

1000225445214 is an abundant number, since it is smaller than the sum of its proper divisors (1002921029826).

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

1000225445214 is a wasteful number, since it uses less digits than its factorization.

1000225445214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29196.

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 1000225445214 in words is "one trillion, two hundred twenty-five million, four hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 829 1658 2487 4974 14081 14281 28162 28562 42243 42843 84486 85686 11673149 11838949 23346298 23677898 35019447 35516847 70038894 71033694 201090761 402181522 603272283 1206544566 166704240869 333408481738 500112722607 1000225445214