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230020222002132 = 2232334718919126949
BaseRepresentation
bin110100010011001111000001…
…100111111010001111010100
31010011102201101202120221222110
4310103033001213322033110
5220122122403313032012
62133113455312231020
766310261350133332
oct6423170147721724
91104381352527873
10230020222002132
1167323034783961
122196b562b3b470
139b46a77094863
1440b3076964b52
151b8d54933773c
hexd133c19fa3d4

230020222002132 has 96 divisors (see below), whose sum is σ = 561697323264000. Its totient is φ = 73123985734272.

The previous prime is 230020222002113. The next prime is 230020222002157. The reversal of 230020222002132 is 231200222020032.

It is a super-2 number, since 2×2300202220021322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230020222002099 and 230020222002108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811846994 + ... + 1811973942.

It is an arithmetic number, because the mean of its divisors is an integer number (5851013784000).

Almost surely, 2230020222002132 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 230020222002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280848661632000).

230020222002132 is an abundant number, since it is smaller than the sum of its proper divisors (331677101261868).

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

230020222002132 is a wasteful number, since it uses less digits than its factorization.

230020222002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146245 (or 146243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 230020222002132 its reverse (231200222020032), we get a palindrome (461220444022164).

The spelling of 230020222002132 in words is "two hundred thirty trillion, twenty billion, two hundred twenty-two million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 347 694 1041 1388 2082 4164 7981 15962 18919 23943 31924 37838 47886 56757 75676 95772 113514 126949 227028 253898 380847 435137 507796 761694 870274 1305411 1523388 1740548 2610822 2919827 5221644 5839654 6564893 8759481 11679308 13129786 17518962 19694679 26259572 35037924 39389358 44051303 78778716 88102606 132153909 150992539 176205212 264307818 301985078 452977617 528615636 603970156 905955234 1013179969 1811910468 2026359938 2401748131 3039539907 4052719876 4803496262 6079079814 7205244393 9606992524 12158159628 14410488786 28820977572 55240207013 110480414026 165720621039 220960828052 331441242078 662882484156 833406601457 1666813202914 2500219804371 3333626405828 5000439608742 10000879217484 19168351833511 38336703667022 57505055500533 76673407334044 115010111001066 230020222002132