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211622420 = 22561891949
BaseRepresentation
bin11001001110100…
…01101000010100
3112202012112101102
430213101220110
5413133404140
632555445232
75146521662
oct1447215024
9482175342
10211622420
11a9501069
125aa56818
1334ac6489
1420169c32
15138a2e15
hexc9d1a14

211622420 has 48 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 82283520.

The previous prime is 211622419. The next prime is 211622449. The reversal of 211622420 is 24226112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28344976 + 183277444 = 5324^2 + 13538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211622392 and 211622401.

It is a congruent number.

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, 107606 + ... + 109554.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2211622420 is an apocalyptic number.

211622420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211622420 is an abundant number, since it is smaller than the sum of its proper divisors (245379580).

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

211622420 is a wasteful number, since it uses less digits than its factorization.

211622420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 211622420 is about 14547.2478496793. The cubic root of 211622420 is about 595.9189903858.

Adding to 211622420 its reverse (24226112), we get a palindrome (235848532).

The spelling of 211622420 in words is "two hundred eleven million, six hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 89 122 178 244 305 356 445 610 890 1220 1780 1949 3898 5429 7796 9745 10858 19490 21716 27145 38980 54290 108580 118889 173461 237778 346922 475556 594445 693844 867305 1188890 1734610 2377780 3469220 10581121 21162242 42324484 52905605 105811210 211622420