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21214248228 = 22323119009183
BaseRepresentation
bin10011110000011101…
…111011110100100100
32000202110100110200100
4103300131323310210
5321421321420403
613425022544100
71350465064125
oct236035736444
960673313610
1021214248228
118aa6987758
124140738030
13200111a504
14105368404c
1584266d2a3
hex4f077bd24

21214248228 has 36 divisors (see below), whose sum is σ = 55354743808. Its totient is φ = 6843305520.

The previous prime is 21214248203. The next prime is 21214248301. The reversal of 21214248228 is 82284241212.

21214248228 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 424 + 8 + 228 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×212142482282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21214248192 and 21214248201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9503476 + ... + 9505707.

Almost surely, 221214248228 is an apocalyptic number.

It is an amenable number.

21214248228 is an abundant number, since it is smaller than the sum of its proper divisors (34140495580).

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

21214248228 is a wasteful number, since it uses less digits than its factorization.

21214248228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009224 (or 19009219 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 21214248228 in words is "twenty-one billion, two hundred fourteen million, two hundred forty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 19009183 38018366 57027549 76036732 114055098 171082647 228110196 342165294 589284673 684330588 1178569346 1767854019 2357138692 3535708038 5303562057 7071416076 10607124114 21214248228