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221430552644444 = 221113283773464131
BaseRepresentation
bin110010010110001111010001…
…011011101100101101011100
31002001000112221221021111201212
4302112033101123230231130
5213010404232434110234
62102535442551323552
764432554342232553
oct6226172133545534
91061015857244655
10221430552644444
1164611196315650
1220a028840805b8
139672a71b99900
143c97420072d9a
151a8edb44755ce
hexc963d16ecb5c

221430552644444 has 144 divisors (see below), whose sum is σ = 463865565953664. Its totient is φ = 91669610822400.

The previous prime is 221430552644387. The next prime is 221430552644459. The reversal of 221430552644444 is 444446255034122.

It is a junction number, because it is equal to n+sod(n) for n = 221430552644392 and 221430552644401.

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, 476854259 + ... + 477318389.

It is an arithmetic number, because the mean of its divisors is an integer number (3221288652456).

Almost surely, 2221430552644444 is an apocalyptic number.

It is an amenable number.

221430552644444 is an abundant number, since it is smaller than the sum of its proper divisors (242435013309220).

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

221430552644444 is a wasteful number, since it uses less digits than its factorization.

221430552644444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465028 (or 465013 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 50.

The spelling of 221430552644444 in words is "two hundred twenty-one trillion, four hundred thirty billion, five hundred fifty-two million, six hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 83 143 166 169 286 332 338 572 676 773 913 1079 1546 1826 1859 2158 3092 3652 3718 4316 7436 8503 10049 11869 14027 17006 20098 23738 28054 34012 40196 47476 56108 64159 110539 128318 130637 154297 221078 256636 261274 308594 442156 464131 522548 617188 705749 834067 928262 1411498 1437007 1668134 1856524 2822996 2874014 3336268 5105441 5748028 6033703 9174737 10210882 10842871 12067406 18349474 20421764 21685742 24134812 36698948 38522873 43371484 66370733 77045746 78438139 119271581 132741466 154091492 156876278 238543162 265482932 313752556 358773263 423751603 477086324 500797349 717546526 847503206 862819529 1001594698 1435093052 1695006412 1725639058 2003189396 3451278116 3946505893 4664052419 5508770839 6510365537 7893011786 9328104838 11017541678 13020731074 15786023572 18656209676 22035083356 26041462148 29778180829 51304576609 59556361658 60632681447 71614020907 102609153218 119112723316 121265362894 143228041814 205218306436 242530725788 286456083628 327559989119 387116350777 655119978238 666959495917 774232701554 1310239956476 1333918991834 1548465403108 2667837983668 4258279858547 5032512560101 8516559717094 10065025120202 17033119434188 20130050240404 55357638161111 110715276322222 221430552644444