Search a number
-
+
2215417746252 = 2231729787475831
BaseRepresentation
bin100000001111010001001…
…100000001001101001100
321211210101021100012021110
4200033101030001031030
5242244133420340002
64413425430532020
7316026055064424
oct40172114011514
97753337305243
102215417746252
1178460a61aa37
122b9442b07010
13130bb3b15509
1479326459484
153c964c82e6c
hex203d130134c

2215417746252 has 96 divisors (see below), whose sum is σ = 5669328913920. Its totient is φ = 670212264960.

The previous prime is 2215417746251. The next prime is 2215417746313. The reversal of 2215417746252 is 2526477145122.

It is not an unprimeable number, because it can be changed into a prime (2215417746251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4417977 + ... + 4893807.

It is an arithmetic number, because the mean of its divisors is an integer number (59055509520).

Almost surely, 22215417746252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215417746252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834664456960).

2215417746252 is an abundant number, since it is smaller than the sum of its proper divisors (3453911167668).

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

2215417746252 is a wasteful number, since it uses less digits than its factorization.

2215417746252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476671 (or 476669 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The spelling of 2215417746252 in words is "two trillion, two hundred fifteen billion, four hundred seventeen million, seven hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 787 986 1479 1574 1972 2361 2958 3148 4722 5916 9444 13379 22823 26758 40137 45646 53516 68469 80274 91292 136938 160548 273876 387991 475831 775982 951662 1163973 1427493 1551964 1903324 2327946 2854986 4655892 5709972 8089127 13799099 16178254 24267381 27598198 32356508 41397297 48534762 55196396 82794594 97069524 165589188 234584683 374478997 469169366 703754049 748957994 938338732 1123436991 1407508098 1497915988 2246873982 2815016196 4493747964 6366142949 10859890913 12732285898 19098428847 21719781826 25464571796 32579672739 38196857694 43439563652 65159345478 76393715388 130318690956 184618145521 369236291042 553854436563 738472582084 1107708873126 2215417746252