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223428457949184 = 211363113613547
BaseRepresentation
bin110010110011010011111101…
…110111100110100000000000
31002022002112220101120211000000
4302303103331313212200000
5213241122440213333214
62111105341104000000
765030113321146435
oct6263237567464000
91068075811524000
10223428457949184
1165211527820924
1221085b22600000
1397892a047c817
143d25dd0657b8c
151ac6d485d7809
hexcb34fdde6800

223428457949184 has 672 divisors, whose sum is σ = 692125364286720. Its totient is φ = 72000434995200.

The previous prime is 223428457949167. The next prime is 223428457949201. The reversal of 223428457949184 is 481949754824322.

223428457949184 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 2 + 8 + 4 + 57 + 9 + 491 + 84 = 666.

223428457949184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223428457949167) and next prime (223428457949201).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 62990823699 + ... + 62990827245.

It is an arithmetic number, because the mean of its divisors is an integer number (1029948458760).

Almost surely, 2223428457949184 is an apocalyptic number.

223428457949184 is a gapful number since it is divisible by the number (24) 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 223428457949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346062682143360).

223428457949184 is an abundant number, since it is smaller than the sum of its proper divisors (468696906337536).

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

223428457949184 is an equidigital number, since it uses as much as digits as its factorization.

223428457949184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4944 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 223428457949184 in words is "two hundred twenty-three trillion, four hundred twenty-eight billion, four hundred fifty-seven million, nine hundred forty-nine thousand, one hundred eighty-four".