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220222134 = 232118912497
BaseRepresentation
bin11010010000001…
…01001010110110
3120100101102222100
431020011022312
5422334102014
633504042530
75312600016
oct1510051266
9510342870
10220222134
11103345170
1261903446
1336817872
1421367c46
1514501009
hexd2052b6

220222134 has 48 divisors (see below), whose sum is σ = 526415760. Its totient is φ = 65978880.

The previous prime is 220222087. The next prime is 220222147. The reversal of 220222134 is 431222022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11374 + ... + 23870.

It is an arithmetic number, because the mean of its divisors is an integer number (10966995).

Almost surely, 2220222134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220222134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263207880).

220222134 is an abundant number, since it is smaller than the sum of its proper divisors (306193626).

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

220222134 is a wasteful number, since it uses less digits than its factorization.

220222134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220222134 is about 14839.8832205648. The cubic root of 220222134 is about 603.8841842615.

Adding to 220222134 its reverse (431222022), we get a palindrome (651444156).

It can be divided in two parts, 2202 and 22134, that added together give a square (24336 = 1562).

The spelling of 220222134 in words is "two hundred twenty million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 8811 12497 17622 24994 37491 74982 112473 137467 224946 274934 412401 824802 1112233 1237203 2224466 2474406 3336699 6673398 10010097 12234563 20020194 24469126 36703689 73407378 110111067 220222134