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23051334400 = 285229124199
BaseRepresentation
bin10101011101111101…
…110111001100000000
32012111111011010010221
4111131331313030000
5334202120200100
614331210032424
71444143052363
oct253575671400
965444133127
1023051334400
119859971796
124573a18714
1322348c3a53
1411896520da
158edaa001a
hex55df77300

23051334400 has 108 divisors (see below), whose sum is σ = 59023566000. Its totient is φ = 8902512640.

The previous prime is 23051334391. The next prime is 23051334401. The reversal of 23051334400 is 443315032.

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

It is not an unprimeable number, because it can be changed into a prime (23051334401) by changing a digit.

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, 123501 + ... + 247699.

It is an arithmetic number, because the mean of its divisors is an integer number (546514500).

Almost surely, 223051334400 is an apocalyptic number.

23051334400 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 23051334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29511783000).

23051334400 is an abundant number, since it is smaller than the sum of its proper divisors (35972231600).

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

23051334400 is a wasteful number, since it uses less digits than its factorization.

23051334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124254 (or 124235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 23051334400 its reverse (443315032), we get a palindrome (23494649432).

The spelling of 23051334400 in words is "twenty-three billion, fifty-one million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 256 290 320 400 464 580 640 725 800 928 1160 1280 1450 1600 1856 2320 2900 3200 3712 4640 5800 6400 7424 9280 11600 18560 23200 37120 46400 92800 124199 185600 248398 496796 620995 993592 1241990 1987184 2483980 3104975 3601771 3974368 4967960 6209950 7203542 7948736 9935920 12419900 14407084 15897472 18008855 19871840 24839800 28814168 31794944 36017710 39743680 49679600 57628336 72035420 79487360 90044275 99359200 115256672 144070840 158974720 180088550 198718400 230513344 288141680 360177100 397436800 461026688 576283360 720354200 794873600 922053376 1152566720 1440708400 2305133440 2881416800 4610266880 5762833600 11525667200 23051334400