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1414022220 = 223251331101193
BaseRepresentation
bin101010001001000…
…0100010001001100
310122112201202211100
41110102010101030
510343442202340
6352151223100
750016663522
oct12422042114
93575652740
101414022220
116661a6906
12335677a90
13196c4b050
14d5b22312
1584214830
hex5448444c

1414022220 has 288 divisors, whose sum is σ = 4840303104. Its totient is φ = 331776000.

The previous prime is 1414022219. The next prime is 1414022317. The reversal of 1414022220 is 222204141.

1414022220 is a `hidden beast` number, since 1 + 41 + 402 + 2 + 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 = 1414022193 and 1414022202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7326444 + ... + 7326636.

It is an arithmetic number, because the mean of its divisors is an integer number (16806608).

Almost surely, 21414022220 is an apocalyptic number.

1414022220 is a gapful number since it is divisible by the number (10) 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 1414022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420151552).

1414022220 is an abundant number, since it is smaller than the sum of its proper divisors (3426280884).

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

1414022220 is a wasteful number, since it uses less digits than its factorization.

1414022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1414022220 is about 37603.4868064120. The cubic root of 1414022220 is about 1122.4114231787.

Adding to 1414022220 its reverse (222204141), we get a palindrome (1636226361).

The spelling of 1414022220 in words is "one billion, four hundred fourteen million, twenty-two thousand, two hundred twenty".