Search a number
-
+
225723747414 = 231137412399433
BaseRepresentation
bin1101001000111000101…
…1110000110001010110
3210120122002001110010010
43102032023300301112
512144240234404124
6251410203141050
722210434124104
oct3221613606126
9716562043103
10225723747414
1187802197390
12378b6514786
131839378aaa9
14acd4624c74
155d1195a529
hex348e2f0c56

225723747414 has 128 divisors (see below), whose sum is σ = 520358307840. Its totient is φ = 64650700800.

The previous prime is 225723747401. The next prime is 225723747419. The reversal of 225723747414 is 414747327522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225723747419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23924442 + ... + 23933874.

It is an arithmetic number, because the mean of its divisors is an integer number (4065299280).

Almost surely, 2225723747414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225723747414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260179153920).

225723747414 is an abundant number, since it is smaller than the sum of its proper divisors (294634560426).

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

225723747414 is a wasteful number, since it uses less digits than its factorization.

225723747414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766.

The product of its digits is 2634240, while the sum is 48.

The spelling of 225723747414 in words is "two hundred twenty-five billion, seven hundred twenty-three million, seven hundred forty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 41 66 74 82 111 123 222 239 246 407 451 478 717 814 902 1221 1353 1434 1517 2442 2629 2706 3034 4551 5258 7887 8843 9102 9433 9799 15774 16687 17686 18866 19598 26529 28299 29397 33374 50061 53058 56598 58794 97273 100122 103763 107789 194546 207526 215578 291819 311289 323367 349021 362563 386753 583638 622578 646734 698042 725126 773506 1047063 1087689 1160259 2094126 2175378 2254487 2320518 3839231 3988193 4254283 4508974 6763461 7678462 7976386 8508566 11517693 11964579 12762849 13526922 14309861 23035386 23929158 24799357 25525698 28619722 42929583 49598714 74398071 83416019 85859166 92433967 148796142 157408471 166832038 184867934 250248057 277301901 314816942 472225413 500496114 554603802 917576209 944450826 1016773637 1835152418 2033547274 2752728627 3050320911 3420056779 5505457254 6100641822 6840113558 10260170337 20520340674 37620624569 75241249138 112861873707 225723747414