Search a number
-
+
23332242400 = 255266144123
BaseRepresentation
bin10101101110101101…
…011100001111100000
32020020001201201110221
4111232231130033200
5340241023224100
614415122532424
71454123534215
oct255655341740
966201651427
1023332242400
119993496065
124631b07114
13227ab687bc
1411b4a95b0c
1591858c01a
hex56eb5c3e0

23332242400 has 72 divisors (see below), whose sum is σ = 57047301864. Its totient is φ = 9318566400.

The previous prime is 23332242389. The next prime is 23332242449. The reversal of 23332242400 is 424223332.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 506739 + ... + 550861.

It is an arithmetic number, because the mean of its divisors is an integer number (792323637).

Almost surely, 223332242400 is an apocalyptic number.

23332242400 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 23332242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28523650932).

23332242400 is an abundant number, since it is smaller than the sum of its proper divisors (33715059464).

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

23332242400 is a wasteful number, since it uses less digits than its factorization.

23332242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44804 (or 44791 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 23332242400 its reverse (424223332), we get a palindrome (23756465732).

The spelling of 23332242400 in words is "twenty-three billion, three hundred thirty-two million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 661 800 1322 2644 3305 5288 6610 10576 13220 16525 21152 26440 33050 44123 52880 66100 88246 105760 132200 176492 220615 264400 352984 441230 528800 705968 882460 1103075 1411936 1764920 2206150 3529840 4412300 7059680 8824600 17649200 29165303 35298400 58330606 116661212 145826515 233322424 291653030 466644848 583306060 729132575 933289696 1166612120 1458265150 2333224240 2916530300 4666448480 5833060600 11666121200 23332242400