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221211044402424 = 233192201291268429
BaseRepresentation
bin110010010011000010110101…
…101110001101010011111000
31002000020120101000210110010020
4302103002311232031103320
5212443310204331334144
62102250541220050440
764410653620040436
oct6223026556152370
91060216330713106
10221211044402424
116453709367248a
1220988223233a20
13965815c03057b
143c8a959117d56
151a89318521419
hexc930b5b8d4f8

221211044402424 has 96 divisors (see below), whose sum is σ = 583695716274000. Its totient is φ = 69852593793024.

The previous prime is 221211044402419. The next prime is 221211044402461. The reversal of 221211044402424 is 424204440112122.

It is a happy number.

221211044402424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212110444024242 (a number of 29 digits) contains 22 as substring.

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, 173763442 + ... + 175031870.

Almost surely, 2221211044402424 is an apocalyptic number.

221211044402424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211044402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291847858137000).

221211044402424 is an abundant number, since it is smaller than the sum of its proper divisors (362484671871576).

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

221211044402424 is a wasteful number, since it uses less digits than its factorization.

221211044402424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288605 (or 1288582 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 221211044402424 its reverse (424204440112122), we get a palindrome (645415484514546).

The spelling of 221211044402424 in words is "two hundred twenty-one trillion, two hundred eleven billion, forty-four million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 8664 20129 40258 60387 80516 120774 161032 241548 382451 483096 764902 1147353 1268429 1529804 2294706 2536858 3059608 3805287 4589412 5073716 7266569 7610574 9178824 10147432 14533138 15221148 21799707 24100151 29066276 30442296 43599414 48200302 58132552 72300453 87198828 96400604 144600906 174397656 192801208 289201812 457902869 578403624 915805738 1373708607 1831611476 2747417214 3663222952 5494834428 10989668856 25532207341 51064414682 76596622023 102128829364 153193244046 204257658728 306386488092 485111939479 612772976184 970223878958 1455335818437 1940447757916 2910671636874 3880895515832 5821343273748 9217126850101 11642686547496 18434253700202 27651380550303 36868507400404 55302761100606 73737014800808 110605522201212 221211044402424