Search a number
-
+
230545255423040 = 26517531634905619
BaseRepresentation
bin110100011010111000000000…
…000011011101110001000000
31010020021220121020121012220022
4310122320000003131301000
5220204223140342014130
62134155010032433012
766363226230441305
oct6432700003356100
91106256536535808
10230545255423040
116750576a424a68
1221a3526b6a8768
139b8442a64ac0c
1440d06427510ac
151b9c027a407e5
hexd1ae000ddc40

230545255423040 has 224 divisors, whose sum is σ = 595880245595520. Its totient is φ = 84633448513536.

The previous prime is 230545255423009. The next prime is 230545255423069. The reversal of 230545255423040 is 40324552545032.

It is a super-2 number, since 2×2305452554230402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230545255422982 and 230545255423000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44543351 + ... + 49448969.

Almost surely, 2230545255423040 is an apocalyptic number.

230545255423040 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 230545255423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297940122797760).

230545255423040 is an abundant number, since it is smaller than the sum of its proper divisors (365334990172480).

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

230545255423040 is a wasteful number, since it uses less digits than its factorization.

230545255423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905869 (or 4905859 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 44.

The spelling of 230545255423040 in words is "two hundred thirty trillion, five hundred forty-five billion, two hundred fifty-five million, four hundred twenty-three thousand, forty".