Search a number
-
+
226120652514 = 23423199304961
BaseRepresentation
bin1101001010010111010…
…1110101011011100010
3210121122201220022120000
43102211311311123202
512201043341340024
6251513422200430
722223323555611
oct3224565653342
9717581808500
10226120652514
1187996239029
12379a7423116
1318427a87793
14ad31221878
155d3670bcc9
hex34a5d756e2

226120652514 has 80 divisors (see below), whose sum is σ = 531365788800. Its totient is φ = 71733911040.

The previous prime is 226120652509. The next prime is 226120652543. The reversal of 226120652514 is 415256021622.

226120652514 is a `hidden beast` number, since 2 + 2 + 6 + 120 + 6 + 525 + 1 + 4 = 666.

It is a super-2 number, since 2×2261206525142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 588994 + ... + 893954.

It is an arithmetic number, because the mean of its divisors is an integer number (6642072360).

Almost surely, 2226120652514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226120652514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265682894400).

226120652514 is an abundant number, since it is smaller than the sum of its proper divisors (305245136286).

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

226120652514 is a wasteful number, since it uses less digits than its factorization.

226120652514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305197 (or 305188 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 226120652514 in words is "two hundred twenty-six billion, one hundred twenty million, six hundred fifty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 199 207 398 414 597 621 1194 1242 1791 1863 3582 3726 4577 5373 9154 10746 13731 16119 27462 32238 41193 82386 123579 247158 304961 370737 609922 741474 914883 1829766 2744649 5489298 7014103 8233947 14028206 16467894 21042309 24701841 42084618 49403682 60687239 63126927 121374478 126253854 182061717 189380781 364123434 378761562 546185151 568142343 1092370302 1136284686 1395806497 1638555453 2791612994 3277110906 4187419491 4915666359 8374838982 9831332718 12562258473 25124516946 37686775419 75373550838 113060326257 226120652514