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221210002032144 = 24353379229429069
BaseRepresentation
bin110010010011000001110111…
…100101111000011000010000
31002000020110200101101112220120
4302103001313211320120100
5212443301041010012034
62102250245542310240
764410616032040146
oct6223016745703020
91060213611345816
10221210002032144
11645366a923a244
1220987b92128380
1396580240a9a18
143c8a89a8db596
151a892a6c70c49
hexc93077978610

221210002032144 has 80 divisors (see below), whose sum is σ = 583777680033600. Its totient is φ = 72154524169728.

The previous prime is 221210002032139. The next prime is 221210002032281. The reversal of 221210002032144 is 441230200012122.

It is a super-2 number, since 2×2212100020321442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113750359 + ... + 115678710.

It is an arithmetic number, because the mean of its divisors is an integer number (7297221000420).

Almost surely, 2221210002032144 is an apocalyptic number.

221210002032144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221210002032144 is an abundant number, since it is smaller than the sum of its proper divisors (362567678001456).

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

221210002032144 is a wasteful number, since it uses less digits than its factorization.

221210002032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229429512 (or 229429506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221210002032144 its reverse (441230200012122), we get a palindrome (662440202044266).

The spelling of 221210002032144 in words is "two hundred twenty-one trillion, two hundred ten billion, two million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 379 424 636 758 848 1137 1272 1516 2274 2544 3032 4548 6064 9096 18192 20087 40174 60261 80348 120522 160696 241044 321392 482088 964176 229429069 458858138 688287207 917716276 1376574414 1835432552 2753148828 3670865104 5506297656 11012595312 12159740657 24319481314 36479221971 48638962628 72958443942 86953617151 97277925256 145916887884 173907234302 194555850512 260860851453 291833775768 347814468604 521721702906 583667551536 695628937208 1043443405812 1391257874416 2086886811624 4173773623248 4608541709003 9217083418006 13825625127009 18434166836012 27651250254018 36868333672024 55302500508036 73736667344048 110605001016072 221210002032144