Search a number
-
+
1228625034 = 237133761997
BaseRepresentation
bin100100100111011…
…0101010010001010
310011121212121200220
41021032311102022
510004012000114
6321525410510
742306066120
oct11116652212
93147777626
101228625034
1158058819a
122a3569a36
13167707680
14b9261910
1572ce20a9
hex493b548a

1228625034 has 128 divisors (see below), whose sum is σ = 3160131072. Its totient is φ = 309795840.

The previous prime is 1228624993. The next prime is 1228625053. The reversal of 1228625034 is 4305268221.

It is a junction number, because it is equal to n+sod(n) for n = 1228624986 and 1228625004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231824 + ... + 1232820.

It is an arithmetic number, because the mean of its divisors is an integer number (24688524).

Almost surely, 21228625034 is an apocalyptic number.

1228625034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228625034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580065536).

1228625034 is an abundant number, since it is smaller than the sum of its proper divisors (1931506038).

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

1228625034 is a wasteful number, since it uses less digits than its factorization.

1228625034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1228625034 is about 35051.7479450027. The cubic root of 1228625034 is about 1071.0418809105.

The spelling of 1228625034 in words is "one billion, two hundred twenty-eight million, six hundred twenty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 61 74 78 91 111 122 182 183 222 259 273 366 427 481 518 546 777 793 854 962 997 1281 1443 1554 1586 1994 2257 2379 2562 2886 2991 3367 4514 4758 5551 5982 6734 6771 6979 10101 11102 12961 13542 13958 15799 16653 20202 20937 25922 29341 31598 33306 36889 38883 41874 47397 58682 60817 73778 77766 88023 90727 94794 110667 121634 176046 181454 182451 205387 221334 258223 272181 364902 410774 425719 479557 516446 544362 616161 774669 790621 851438 959114 1232322 1277157 1438671 1549338 1581242 2250229 2371863 2554314 2877342 3356899 4500458 4743726 5534347 6713798 6750687 10070697 11068694 13501374 15751603 16603041 20141394 29252977 31503206 33206082 47254809 58505954 87758931 94509618 175517862 204770839 409541678 614312517 1228625034