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2220808811046 = 237293769837057
BaseRepresentation
bin100000010100010010100…
…001010011001000100110
321212022021222120122212220
4200110102201103020212
5242341204023423141
64420120412053210
7316306466300460
oct40242241231046
97768258518786
102220808811046
1178692674a791
122ba4a8464206
131315629a7697
14796b8437130
153cb7d1d5766
hex20512853226

2220808811046 has 128 divisors (see below), whose sum is σ = 5394633799680. Its totient is φ = 595909343232.

The previous prime is 2220808811041. The next prime is 2220808811051. The reversal of 2220808811046 is 6401188080222.

It is an interprime number because it is at equal distance from previous prime (2220808811041) and next prime (2220808811051).

It is a super-2 number, since 2×22208088110462 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2220808810989 and 2220808811007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220808811041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314692350 + ... + 314699406.

It is an arithmetic number, because the mean of its divisors is an integer number (42145576560).

Almost surely, 22220808811046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220808811046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697316899840).

2220808811046 is an abundant number, since it is smaller than the sum of its proper divisors (3173824988634).

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

2220808811046 is a wasteful number, since it uses less digits than its factorization.

2220808811046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118.

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 2220808811046 in words is "two trillion, two hundred twenty billion, eight hundred eight million, eight hundred eleven thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 1073 1218 1554 2146 3219 6438 6983 7057 7511 13966 14114 15022 20949 21171 22533 41898 42342 45066 48881 49399 97762 98798 146643 148197 202507 204653 258371 261109 293286 296394 405014 409306 516742 522218 607521 613959 775113 783327 1215042 1227918 1417549 1432571 1550226 1566654 1808597 1827763 2835098 2865142 3617194 3655526 4252647 4297713 5425791 5483289 7492759 7572161 8505294 8595426 10851582 10966578 14985518 15144322 22478277 22716483 44956554 45432966 49279031 52449313 53005127 98558062 104898626 106010254 147837093 157347939 159015381 295674186 314695878 318030762 344953217 689906434 1034859651 1429091899 1823324147 2069719302 2858183798 3646648294 4287275697 5469972441 8574551394 10003643293 10939944882 12763269029 20007286586 25526538058 30010929879 38289807087 52876400263 60021859758 76579614174 105752800526 158629200789 317258401578 370134801841 740269603682 1110404405523 2220808811046