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23452400000 = 275558631
BaseRepresentation
bin10101110101110111…
…110011100110000000
32020112102211100201102
4111311313303212000
5341012303300000
614435054153532
71460113053011
oct256567634600
966472740642
1023452400000
119a452a5267
1246661b28a8
132299a19383
1411c6a13008
15923dc43d5
hex575df3980

23452400000 has 96 divisors (see below), whose sum is σ = 58399230960. Its totient is φ = 9380800000.

The previous prime is 23452399981. The next prime is 23452400033. The reversal of 23452400000 is 425432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370685 + ... + 429315.

Almost surely, 223452400000 is an apocalyptic number.

23452400000 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 23452400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199615480).

23452400000 is an abundant number, since it is smaller than the sum of its proper divisors (34946830960).

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

23452400000 is an frugal number, since it uses more digits than its factorization.

23452400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58670 (or 58638 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 23452400000 its reverse (425432), we get a palindrome (23452825432).

The spelling of 23452400000 in words is "twenty-three billion, four hundred fifty-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 58631 80000 100000 117262 200000 234524 293155 400000 469048 586310 938096 1172620 1465775 1876192 2345240 2931550 3752384 4690480 5863100 7328875 7504768 9380960 11726200 14657750 18761920 23452400 29315500 36644375 37523840 46904800 58631000 73288750 93809600 117262000 146577500 183221875 187619200 234524000 293155000 366443750 469048000 586310000 732887500 938096000 1172620000 1465775000 2345240000 2931550000 4690480000 5863100000 11726200000 23452400000