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23300404224 = 210317942373
BaseRepresentation
bin10101101100110011…
…111111010000000000
32020010211211011201020
4111230303333100000
5340204400413344
614412024305440
71453256111436
oct255463772000
966124734636
1023300404224
11997751a619
124623312280
13227439bc46
1411b0768d56
1591589d719
hex56ccff400

23300404224 has 88 divisors (see below), whose sum is σ = 62452496160. Its totient is φ = 7723229184.

The previous prime is 23300404217. The next prime is 23300404249. The reversal of 23300404224 is 42240400332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23300404194 and 23300404203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528702 + ... + 571074.

Almost surely, 223300404224 is an apocalyptic number.

23300404224 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 23300404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31226248080).

23300404224 is an abundant number, since it is smaller than the sum of its proper divisors (39152091936).

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

23300404224 is a wasteful number, since it uses less digits than its factorization.

23300404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42575 (or 42557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23300404224 its reverse (42240400332), we get a palindrome (65540804556).

The spelling of 23300404224 in words is "twenty-three billion, three hundred million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1432 1536 2148 2864 3072 4296 5728 8592 11456 17184 22912 34368 42373 45824 68736 84746 91648 127119 137472 169492 183296 254238 274944 338984 508476 549888 677968 1016952 1355936 2033904 2711872 4067808 5423744 7584767 8135616 10847488 15169534 16271232 21694976 22754301 30339068 32542464 43389952 45508602 60678136 65084928 91017204 121356272 130169856 182034408 242712544 364068816 485425088 728137632 970850176 1456275264 1941700352 2912550528 3883400704 5825101056 7766801408 11650202112 23300404224