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23023230313200 = 24352132264365179
BaseRepresentation
bin1010011110000100000110…
…11101101110001011110000
310000111222222111122222000020
411033002003131232023300
511004203033430010300
6120544420451523440
74564242052464435
oct517020335561360
9100458874588006
1023023230313200
11737710832a967
1226ba0812b9580
13cb01098117a0
1459848a475b8c
1529dd48c308a0
hex14f08376e2f0

23023230313200 has 240 divisors, whose sum is σ = 79428967470720. Its totient is φ = 5666919459840.

The previous prime is 23023230313133. The next prime is 23023230313231. The reversal of 23023230313200 is 231303232032.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353198211 + ... + 353263389.

It is an arithmetic number, because the mean of its divisors is an integer number (330954031128).

Almost surely, 223023230313200 is an apocalyptic number.

23023230313200 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 23023230313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39714483735360).

23023230313200 is an abundant number, since it is smaller than the sum of its proper divisors (56405737157520).

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

23023230313200 is a wasteful number, since it uses less digits than its factorization.

23023230313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87856 (or 87845 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23023230313200 its reverse (231303232032), we get a palindrome (23254533545232).

The spelling of 23023230313200 in words is "twenty-three trillion, twenty-three billion, two hundred thirty million, three hundred thirteen thousand, two hundred".