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220226025006 = 232132463156361
BaseRepresentation
bin1100110100011001111…
…1100111011000101110
3210001102221010012202200
43031012133213120232
512102010330300011
6245100452002330
721624256216641
oct3150637473056
9701387105680
10220226025006
1185440939149
12368213003a6
13179c8793a00
14a932401a58
155adde8a856
hex33467e762e

220226025006 has 72 divisors (see below), whose sum is σ = 517803395616. Its totient is φ = 67615067520.

The previous prime is 220226024989. The next prime is 220226025017. The reversal of 220226025006 is 600520622022.

220226025006 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 602 + 50 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1330266 + ... + 1486626.

It is an arithmetic number, because the mean of its divisors is an integer number (7191713828).

Almost surely, 2220226025006 is an apocalyptic number.

220226025006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220226025006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258901697808).

220226025006 is an abundant number, since it is smaller than the sum of its proper divisors (297577370610).

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

220226025006 is a wasteful number, since it uses less digits than its factorization.

220226025006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156858 (or 156842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 220226025006 its reverse (600520622022), we get a palindrome (820746647028).

The spelling of 220226025006 in words is "two hundred twenty billion, two hundred twenty-six million, twenty-five thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 463 507 926 1014 1389 1521 2778 3042 4167 6019 8334 12038 18057 36114 54171 78247 108342 156361 156494 234741 312722 469083 469482 704223 938166 1407249 1408446 2032693 2814498 4065386 6098079 12196158 18294237 26425009 36588474 52850018 72395143 79275027 144790286 158550054 217185429 237825081 434370858 475650162 651556287 941136859 1303112574 1882273718 2823410577 5646821154 8470231731 12234779167 16940463462 24469558334 36704337501 73408675002 110113012503 220226025006