Search a number
-
+
224580745813732 = 22711750797130447
BaseRepresentation
bin110011000100000101000111…
…100100111101111011100100
31002110011201011022111022111121
4303010011013210331323210
5213414012331412014412
62113350545331543324
765206265145325660
oct6304050744757344
91073151138438447
10224580745813732
1165616183227410
122123130545ab44
139840b47cb10c9
143d65aa22418a0
151ae6cd9704107
hexcc414793dee4

224580745813732 has 48 divisors (see below), whose sum is σ = 490059631208448. Its totient is φ = 87487335321120.

The previous prime is 224580745813729. The next prime is 224580745813751. The reversal of 224580745813732 is 237318547085422.

224580745813732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2245807458137322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46253068 + ... + 50877379.

It is an arithmetic number, because the mean of its divisors is an integer number (10209575650176).

Almost surely, 2224580745813732 is an apocalyptic number.

224580745813732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224580745813732 is an abundant number, since it is smaller than the sum of its proper divisors (265478885394716).

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

224580745813732 is a wasteful number, since it uses less digits than its factorization.

224580745813732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97137976 (or 97137974 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 61.

The spelling of 224580745813732 in words is "two hundred twenty-four trillion, five hundred eighty billion, seven hundred forty-five million, eight hundred thirteen thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 7507 15014 30028 52549 82577 105098 165154 210196 330308 578039 1156078 2312156 97130447 194260894 388521788 679913129 1068434917 1359826258 2136869834 2719652516 4273739668 7479044419 14958088838 29916177676 729158265629 1458316531258 2916633062516 5104107859403 8020740921919 10208215718806 16041481843838 20416431437612 32082963687676 56145186453433 112290372906866 224580745813732