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23124415400 = 23523710928669
BaseRepresentation
bin10101100010010100…
…101001001110101000
32012200120200000102122
4111202110221032220
5334324322243100
614342340250412
71446021200462
oct254224511650
965616600378
1023124415400
119897147609
1245943a0a08
132246aa0a48
141195237132
159051d8985
hex5625293a8

23124415400 has 96 divisors (see below), whose sum is σ = 55725879000. Its totient is φ = 8916894720.

The previous prime is 23124415387. The next prime is 23124415409. The reversal of 23124415400 is 451442132.

It can be written as a sum of positive squares in 12 ways, for example, as 10650652804 + 12473762596 = 103202^2 + 111686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23124415400.

It is not an unprimeable number, because it can be changed into a prime (23124415409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792266 + ... + 820934.

Almost surely, 223124415400 is an apocalyptic number.

23124415400 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 23124415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862939500).

23124415400 is an abundant number, since it is smaller than the sum of its proper divisors (32601463600).

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

23124415400 is a wasteful number, since it uses less digits than its factorization.

23124415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28831 (or 28822 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 23124415400 its reverse (451442132), we get a palindrome (23575857532).

The spelling of 23124415400 in words is "twenty-three billion, one hundred twenty-four million, four hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 109 148 185 200 218 296 370 436 545 740 872 925 1090 1480 1850 2180 2725 3700 4033 4360 5450 7400 8066 10900 16132 20165 21800 28669 32264 40330 57338 80660 100825 114676 143345 161320 201650 229352 286690 403300 573380 716725 806600 1060753 1146760 1433450 2121506 2866900 3124921 4243012 5303765 5733800 6249842 8486024 10607530 12499684 15624605 21215060 24999368 26518825 31249210 42430120 53037650 62498420 78123025 106075300 115622077 124996840 156246050 212150600 231244154 312492100 462488308 578110385 624984200 924976616 1156220770 2312441540 2890551925 4624883080 5781103850 11562207700 23124415400