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21221827090224 = 243817075411059
BaseRepresentation
bin1001101001101000101110…
…11101110001011100110000
32210010210020121200200111020
410310310113131301130300
510240144300213341344
6113045101153015440
74320140441645325
oct464642735613460
983123217620436
1021221827090224
116842143160072
122468b22b54580
13bac29595cb37
145351db596b4c
1526c065de7719
hex134d17771730

21221827090224 has 40 divisors (see below), whose sum is σ = 54823734419520. Its totient is φ = 7073854479168.

The previous prime is 21221827090207. The next prime is 21221827090241. The reversal of 21221827090224 is 42209072812212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21221827090207) and next prime (21221827090241).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216407 + ... + 6627465.

It is an arithmetic number, because the mean of its divisors is an integer number (1370593360488).

Almost surely, 221221827090224 is an apocalyptic number.

21221827090224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21221827090224 is an abundant number, since it is smaller than the sum of its proper divisors (33601907329296).

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

21221827090224 is a wasteful number, since it uses less digits than its factorization.

21221827090224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492777 (or 5492771 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 21221827090224 in words is "twenty-one trillion, two hundred twenty-one billion, eight hundred twenty-seven million, ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 81707 163414 245121 326828 490242 653656 980484 1307312 1960968 3921936 5411059 10822118 16233177 21644236 32466354 43288472 64932708 86576944 129865416 259730832 442121397713 884242795426 1326364193139 1768485590852 2652728386278 3536971181704 5305456772556 7073942363408 10610913545112 21221827090224