Search a number
-
+
2263025403460 = 2251729229515761
BaseRepresentation
bin100000111011100110110…
…100110100011001000100
322000100021010112202112201
4200323212310310121010
5244034134000402320
64451341452124244
7322332610355023
oct40734664643104
98010233482481
102263025403460
117a281a930488
1230670a766684
1313553004a993
147b7611608ba
153dcee5b570a
hex20ee6d34644

2263025403460 has 48 divisors (see below), whose sum is σ = 5205417482160. Its totient is φ = 822584483840.

The previous prime is 2263025403449. The next prime is 2263025403467. The reversal of 2263025403460 is 643045203622.

It can be written as a sum of positive squares in 8 ways, for example, as 126563754564 + 2136461648896 = 355758^2 + 1461664^2 .

It is not an unprimeable number, because it can be changed into a prime (2263025403467) 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, 114748021 + ... + 114767740.

It is an arithmetic number, because the mean of its divisors is an integer number (108446197545).

Almost surely, 22263025403460 is an apocalyptic number.

2263025403460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263025403460 is an abundant number, since it is smaller than the sum of its proper divisors (2942392078700).

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

2263025403460 is a wasteful number, since it uses less digits than its factorization.

2263025403460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229515816 (or 229515814 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 2263025403460 in words is "two trillion, two hundred sixty-three billion, twenty-five million, four hundred three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 229515761 459031522 918063044 1147578805 2295157610 3901767937 4590315220 6655957069 7803535874 13311914138 15607071748 19508839685 26623828276 33279785345 39017679370 66559570690 78035358740 113151270173 133119141380 226302540346 452605080692 565756350865 1131512701730 2263025403460