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41351222500 = 225474832
BaseRepresentation
bin100110100000101110…
…011001010011100100
310221201211121202022021
4212200232121103210
51134141403110000
630555124112524
72662502410000
oct464056312344
9127654552267
1041351222500
111659a761555
128020535744
133b8ccb31c3
142003c23700
15112044411a
hex9a0b994e4

41351222500 has 225 divisors, whose sum is σ = 106778016191. Its totient is φ = 14006748000.

The previous prime is 41351222483. The next prime is 41351222503. The reversal of 41351222500 is 522215314.

The square root of 41351222500 is 203350.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3241935844 + 38109286656 = 56938^2 + 195216^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 (41351222503) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 498207459 + ... + 498207541.

Almost surely, 241351222500 is an apocalyptic number.

41351222500 is the 203350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41351222500

41351222500 is an abundant number, since it is smaller than the sum of its proper divisors (65426793691).

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

41351222500 is an frugal number, since it uses more digits than its factorization.

41351222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Multiplying 41351222500 by its sum of digits (25), we get a square (1033780562500 = 10167502).

41351222500 divided by its sum of digits (25) gives a square (1654048900 = 406702).

Adding to 41351222500 its reverse (522215314), we get a palindrome (41873437814).

The spelling of 41351222500 in words is "forty-one billion, three hundred fifty-one million, two hundred twenty-two thousand, five hundred".