Search a number
-
+
22835800920906 = 2336171888710987
BaseRepresentation
bin1010011000100110111111…
…10011010101001101001010
32222212002012020012022111000
411030103133303111031022
510443120210013432111
6120322342213315430
74544555302105461
oct514233763251512
988762166168430
1022835800920906
117304677323356
122689893635b76
13c9853993152c
1458d389aa79d8
15299029190c56
hex14c4dfcd534a

22835800920906 has 128 divisors (see below), whose sum is σ = 52315228753920. Its totient is φ = 7380192657600.

The previous prime is 22835800920857. The next prime is 22835800920913. The reversal of 22835800920906 is 60902900853822.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2078432745 + ... + 2078443731.

It is an arithmetic number, because the mean of its divisors is an integer number (408712724640).

Almost surely, 222835800920906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22835800920906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157614376960).

22835800920906 is an abundant number, since it is smaller than the sum of its proper divisors (29479427833014).

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

22835800920906 is a wasteful number, since it uses less digits than its factorization.

22835800920906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20017 (or 20011 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 22835800920906 in words is "twenty-two trillion, eight hundred thirty-five billion, eight hundred million, nine hundred twenty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 71 122 142 183 213 366 426 549 639 1098 1278 1647 1917 3294 3834 4331 8662 8887 10987 12993 17774 21974 25986 26661 32961 38979 53322 65922 77958 79983 98883 116937 159966 197766 233874 239949 296649 479898 542107 593298 630977 670207 780077 1084214 1261954 1340414 1560154 1626321 1892931 2010621 2340231 3252642 3785862 4021242 4680462 4878963 5678793 6031863 7020693 9757926 11357586 12063726 14041386 14636889 17036379 18095589 21062079 29273778 34072758 36191178 38489597 42124158 47584697 76979194 95169394 97641469 115468791 142754091 195282938 230937582 285508182 292924407 346406373 428262273 585848814 692812746 856524546 878773221 1039219119 1284786819 1757546442 2078438238 2569573638 2636319663 5272639326 5956129609 6932544299 11912259218 13865088598 17868388827 20797632897 35736777654 41595265794 53605166481 62392898691 107210332962 124785797382 160815499443 187178696073 321630998886 374357392146 422885202239 845770404478 1268655606717 2537311213434 3805966820151 7611933640302 11417900460453 22835800920906