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2255006440 = 235371523653
BaseRepresentation
bin1000011001101000…
…1010101011101000
312211011012012022001
42012122022223220
514104240201230
61011432340344
7106611144541
oct20632125350
95734165261
102255006440
11a5798a795
1252b2446b4
1329c25074b
141756b94c8
15d2e850ca
hex8668aae8

2255006440 has 32 divisors (see below), whose sum is σ = 5210896680. Its totient is φ = 877623552.

The previous prime is 2255006407. The next prime is 2255006441. The reversal of 2255006440 is 446005522.

It can be written as a sum of positive squares in 4 ways, for example, as 2228028804 + 26977636 = 47202^2 + 5194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2255006399 and 2255006408.

It is not an unprimeable number, because it can be changed into a prime (2255006441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760347 + ... + 763306.

Almost surely, 22255006440 is an apocalyptic number.

2255006440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255006440 is an abundant number, since it is smaller than the sum of its proper divisors (2955890240).

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

2255006440 is a wasteful number, since it uses less digits than its factorization.

2255006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523701 (or 1523697 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2255006440 is about 47486.9080905464. The cubic root of 2255006440 is about 1311.3418722961.

The spelling of 2255006440 in words is "two billion, two hundred fifty-five million, six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1523653 3047306 6094612 7618265 12189224 15236530 30473060 56375161 60946120 112750322 225500644 281875805 451001288 563751610 1127503220 2255006440