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23801372182225 = 5211210728292
BaseRepresentation
bin1010110100101101100000…
…10101011000011011010001
310010021101111112212121020101
411122112300111120123101
511104430202234312400
6122342111024412401
75004410122314211
oct532266025303321
9103241445777211
1023801372182225
117647118107300
122804a47477101
1310385c914c141
145c3dc782a241
152b41dd0b956a
hex15a5b05586d1

23801372182225 has 81 divisors (see below), whose sum is σ = 32786246683281. Its totient is φ = 17127626788800.

The previous prime is 23801372182223. The next prime is 23801372182241. The reversal of 23801372182225 is 52228127310832.

The square root of 23801372182225 is 4878665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 103247185041 + 23698124997184 = 321321^2 + 4868072^2 .

It is not a de Polignac number, because 23801372182225 - 21 = 23801372182223 is a prime.

It is a super-3 number, since 3×238013721822253 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23801372182223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28710943111 + ... + 28710943939.

Almost surely, 223801372182225 is an apocalyptic number.

23801372182225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23801372182225 is the 4878665-th square number.

23801372182225 is the 2439333-rd centered octagonal number.

It is an amenable number.

23801372182225 is a deficient number, since it is larger than the sum of its proper divisors (8984874501056).

23801372182225 is an frugal number, since it uses more digits than its factorization.

23801372182225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 23801372182225 in words is "twenty-three trillion, eight hundred one billion, three hundred seventy-two million, one hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 107 121 275 535 605 829 1177 2675 3025 4145 5885 9119 11449 12947 20725 29425 45595 57245 64735 88703 100309 125939 227975 286225 323675 443515 501545 629695 687241 975733 1385329 2217575 2507725 3148475 3436205 4878665 6926645 7559651 9491221 10733063 17181025 24393325 34633225 37798255 47456105 53665315 73534787 83156161 104403431 188991275 237280525 268326575 367673935 415780805 522017155 808882657 1148437741 1838369675 2078904025 2610085775 4044413285 5742188705 7868222209 8897709227 20222066425 28710943525 39341111045 44488546135 86550444299 196705555225 222442730675 432752221495 952054887289 2163761107475 4760274436445 23801372182225