Search a number
-
+
2254400203014 = 232314393956831
BaseRepresentation
bin100000110011100100101…
…110010010100100000110
321222112000000201011212100
4200303210232102210012
5243414002422444024
64443353540132530
7321606065360031
oct40634456224406
97875000634770
102254400203014
1179a0a4162753
12304b02097146
1313478712778b
147b183830018
153d9972707c9
hex20ce4b92906

2254400203014 has 48 divisors (see below), whose sum is σ = 5159357558784. Its totient is φ = 710313634800.

The previous prime is 2254400202979. The next prime is 2254400203031. The reversal of 2254400203014 is 4103020044522.

2254400203014 is a `hidden beast` number, since 2 + 2 + 5 + 440 + 0 + 203 + 0 + 14 = 666.

It is a Curzon number.

It is a congruent number.

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, 46954422 + ... + 47002409.

It is an arithmetic number, because the mean of its divisors is an integer number (107486615808).

Almost surely, 22254400203014 is an apocalyptic number.

2254400203014 is an abundant number, since it is smaller than the sum of its proper divisors (2904957355770).

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

2254400203014 is a wasteful number, since it uses less digits than its factorization.

2254400203014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93956913 (or 93956910 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2254400203014 its reverse (4103020044522), we get a palindrome (6357420247536).

The spelling of 2254400203014 in words is "two trillion, two hundred fifty-four billion, four hundred million, two hundred three thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 2666 3999 7998 11997 23994 93956831 187913662 281870493 563740986 845611479 1691222958 2912661761 4040143733 5825323522 8080287466 8737985283 12120431199 17475970566 24240862398 26213955849 36361293597 52427911698 72722587194 125244455723 250488911446 375733367169 751466734338 1127200101507 2254400203014