Search a number
-
+
220014410022 = 2321123371305739
BaseRepresentation
bin1100110011100111100…
…0010111100100100110
3210000220011221001120200
43030321320113210212
512101042142110042
6245023452211330
721616106425431
oct3147170274446
9700804831520
10220014410022
1185342442730
1236782469b46
13179939a0a44
14a912278818
155aca5d9c4c
hex3339e17926

220014410022 has 96 divisors (see below), whose sum is σ = 557310723840. Its totient is φ = 62048669760.

The previous prime is 220014410009. The next prime is 220014410039.

220014410022 is a `hidden beast` number, since 2 + 200 + 1 + 441 + 0 + 0 + 22 = 666.

220014410022 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 220014409977 and 220014410004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484372 + ... + 821367.

It is an arithmetic number, because the mean of its divisors is an integer number (5805320040).

Almost surely, 2220014410022 is an apocalyptic number.

220014410022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220014410022 is an abundant number, since it is smaller than the sum of its proper divisors (337296313818).

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

220014410022 is a wasteful number, since it uses less digits than its factorization.

220014410022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305818 (or 1305815 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 220014 and 410022, that added together give a palindrome (630036).

The spelling of 220014410022 in words is "two hundred twenty billion, fourteen million, four hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 168498 1305739 2611478 3917217 7834434 11751651 14363129 23503302 28726258 30031997 43089387 48312343 60063994 86178774 90095991 96624686 129268161 144937029 180191982 258536322 270287973 289874058 330351967 434811087 531435773 540575946 660703934 869622174 991055901 1062871546 1111183889 1594307319 1982111802 2222367778 2973167703 3188614638 3333551667 4782921957 5946335406 6667103334 9565843914 10000655001 12223022779 20001310002 24446045558 36669068337 73338136674 110007205011 220014410022