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220123002 = 231131271397
BaseRepresentation
bin11010001111011…
…00111101111010
3120100012101222210
431013230331322
5422322414002
633501555550
75312005011
oct1507547572
9510171883
10220123002
11103287740
1261875bb6
13367b16c8
142133da78
15144d196c
hexd1ecf7a

220123002 has 64 divisors (see below), whose sum is σ = 498843648. Its totient is φ = 64152000.

The previous prime is 220122997. The next prime is 220123031. The reversal of 220123002 is 200321022.

220123002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 554268 + ... + 554664.

It is an arithmetic number, because the mean of its divisors is an integer number (7794432).

Almost surely, 2220123002 is an apocalyptic number.

220123002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421824).

220123002 is an abundant number, since it is smaller than the sum of its proper divisors (278720646).

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

220123002 is a wasteful number, since it uses less digits than its factorization.

220123002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220123002 is about 14836.5427913648. The cubic root of 220123002 is about 603.7935587483.

Adding to 220123002 its reverse (200321022), we get a palindrome (420444024).

The spelling of 220123002 in words is "two hundred twenty million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 271 341 397 542 682 794 813 1023 1191 1626 2046 2382 2981 4367 5962 8401 8734 8943 12307 13101 16802 17886 24614 25203 26202 36921 50406 73842 92411 107587 135377 184822 215174 270754 277233 322761 406131 554466 645522 812262 1183457 2366914 3335197 3550371 6670394 7100742 10005591 20011182 36687167 73374334 110061501 220123002