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444222226044 = 2232232011726669
BaseRepresentation
bin1100111011011011011…
…01010011111001111100
31120110121121111012202200
412131231231103321330
524234231342213134
6540023423551500
744044145422512
oct6355555237174
91513547435680
10444222226044
11161436958353
127211515b590
1332b7537bcbc
14177014104b2
15b84de00499
hex676db53e7c

444222226044 has 72 divisors (see below), whose sum is σ = 1171818779040. Its totient is φ = 141623720832.

The previous prime is 444222226031. The next prime is 444222226057. The reversal of 444222226044 is 440622222444.

444222226044 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 22 + 22 + 604 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (444222226031) and next prime (444222226057).

It is a super-2 number, since 2×4442222260442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16643542 + ... + 16670210.

It is an arithmetic number, because the mean of its divisors is an integer number (16275260820).

Almost surely, 2444222226044 is an apocalyptic number.

It is an amenable number.

444222226044 is an abundant number, since it is smaller than the sum of its proper divisors (727596552996).

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

444222226044 is a wasteful number, since it uses less digits than its factorization.

444222226044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46819 (or 46814 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 444222226044 its reverse (440622222444), we get a palindrome (884844448488).

The spelling of 444222226044 in words is "four hundred forty-four billion, two hundred twenty-two million, two hundred twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 20117 26669 40234 53338 60351 80007 80468 106676 120702 160014 181053 240021 241404 320028 362106 462691 480042 613387 724212 925382 960084 1226774 1388073 1840161 1850764 2453548 2776146 3680322 4164219 5520483 5552292 7360644 8328438 11040966 16656876 22081932 536500273 1073000546 1609500819 2146001092 3219001638 4828502457 6438003276 9657004914 12339506279 19314009828 24679012558 37018518837 49358025116 74037037674 111055556511 148074075348 222111113022 444222226044