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2254425440 = 25527750867
BaseRepresentation
bin1000011001011111…
…1100110101100000
312211010002200022112
42012113330311200
514104113103230
61011412054452
7106603204631
oct20627746540
95733080275
102254425440
11a57623223
1252b004428
1329c0a9167
141755a7888
15d2dbcd95
hex865fcd60

2254425440 has 48 divisors (see below), whose sum is σ = 5345412912. Its totient is φ = 898497024.

The previous prime is 2254425427. The next prime is 2254425451. The reversal of 2254425440 is 445244522.

2254425440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2254425397 and 2254425406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18887 + ... + 69753.

It is an arithmetic number, because the mean of its divisors is an integer number (111362769).

Almost surely, 22254425440 is an apocalyptic number.

2254425440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672706456).

2254425440 is an abundant number, since it is smaller than the sum of its proper divisors (3090987472).

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

2254425440 is a wasteful number, since it uses less digits than its factorization.

2254425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51159 (or 51151 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

The square root of 2254425440 is about 47480.7902208883. The cubic root of 2254425440 is about 1311.2292406783.

Adding to 2254425440 its reverse (445244522), we get a palindrome (2699669962).

The spelling of 2254425440 in words is "two billion, two hundred fifty-four million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5540 8864 11080 22160 44320 50867 101734 203468 254335 406936 508670 813872 1017340 1627744 2034680 4069360 8138720 14090159 28180318 56360636 70450795 112721272 140901590 225442544 281803180 450885088 563606360 1127212720 2254425440