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3222122220 = 22335191033049
BaseRepresentation
bin1100000000001101…
…1010111011101100
322022112222202202000
43000003122323230
523044330402340
61251421132300
7142563405222
oct30003327354
98275882660
103222122220
111403893129
1275b0ba090
133c4715bc5
14227d06b12
1513cd1cd30
hexc00daeec

3222122220 has 192 divisors, whose sum is σ = 10657920000. Its totient is φ = 805842432.

The previous prime is 3222122179. The next prime is 3222122249. The reversal of 3222122220 is 222212223.

3222122220 is a `hidden beast` number, since 322 + 2 + 122 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3222122193 and 3222122202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055256 + ... + 1058304.

It is an arithmetic number, because the mean of its divisors is an integer number (55510000).

Almost surely, 23222122220 is an apocalyptic number.

3222122220 is a gapful number since it is divisible by the number (30) 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 3222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328960000).

3222122220 is an abundant number, since it is smaller than the sum of its proper divisors (7435797780).

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

3222122220 is a wasteful number, since it uses less digits than its factorization.

3222122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3222122220 is about 56763.7403630170. The cubic root of 3222122220 is about 1477.0005939257. Note that the first 3 decimals are identical.

Adding to 3222122220 its reverse (222212223), we get a palindrome (3444334443).

The spelling of 3222122220 in words is "three billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".