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23303221120 = 275157231919
BaseRepresentation
bin10101101100111110…
…101110111110000000
32020011001010021202201
4111230332232332000
5340211111033440
614412204522544
71453322053114
oct255476567600
966131107681
1023303221120
119979073a33
124624250454
132274b4714a
1411b0c9d744
15915c5819a
hex56cfaef80

23303221120 has 64 divisors (see below), whose sum is σ = 56064340800. Its totient is φ = 9261877248.

The previous prime is 23303221103. The next prime is 23303221129. The reversal of 23303221120 is 2112230332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×233032211202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23303221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15480 + ... + 216439.

It is an arithmetic number, because the mean of its divisors is an integer number (876005325).

Almost surely, 223303221120 is an apocalyptic number.

23303221120 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 23303221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032170400).

23303221120 is an abundant number, since it is smaller than the sum of its proper divisors (32761119680).

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

23303221120 is a wasteful number, since it uses less digits than its factorization.

23303221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232095 (or 232083 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23303221120 its reverse (2112230332), we get a palindrome (25415451452).

The spelling of 23303221120 in words is "twenty-three billion, three hundred three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 628 640 785 1256 1570 2512 3140 5024 6280 10048 12560 20096 25120 50240 100480 231919 463838 927676 1159595 1855352 2319190 3710704 4638380 7421408 9276760 14842816 18553520 29685632 36411283 37107040 72822566 74214080 145645132 148428160 182056415 291290264 364112830 582580528 728225660 1165161056 1456451320 2330322112 2912902640 4660644224 5825805280 11651610560 23303221120