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223301234024 = 23112491469823
BaseRepresentation
bin1100111111110111001…
…0100110110101101000
3210100101020200000110222
43033331302212311220
512124310103442044
6250325544225212
722063420112621
oct3177562466550
9710336600428
10223301234024
11867797a8200
123733b16b208
131809891ba0b
14ab449c4a48
155c1de388ee
hex33fdca6d68

223301234024 has 48 divisors (see below), whose sum is σ = 461151048960. Its totient is φ = 101293623200.

The previous prime is 223301233931. The next prime is 223301234027. The reversal of 223301234024 is 420432103322.

It is a super-2 number, since 2×2233012340242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223301233984 and 223301234002.

It is not an unprimeable number, because it can be changed into a prime (223301234027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240377 + ... + 710199.

It is an arithmetic number, because the mean of its divisors is an integer number (9607313520).

Almost surely, 2223301234024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223301234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230575524480).

223301234024 is an abundant number, since it is smaller than the sum of its proper divisors (237849814936).

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

223301234024 is a wasteful number, since it uses less digits than its factorization.

223301234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470342 (or 470327 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 223301234024 its reverse (420432103322), we get a palindrome (643733337346).

The spelling of 223301234024 in words is "two hundred twenty-three billion, three hundred one million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 491 968 982 1964 3928 5401 10802 21604 43208 59411 118822 237644 469823 475288 939646 1879292 3758584 5168053 10336106 20672212 41344424 56848583 113697166 227394332 230683093 454788664 461366186 922732372 1845464744 2537514023 5075028046 10150056092 20300112184 27912654253 55825308506 111650617012 223301234024