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1406227284 = 223374111729
BaseRepresentation
bin101001111010001…
…0101001101010100
310122000001202012000
41103310111031110
510334443233114
6351312155300
746563510000
oct12364251524
93560052160
101406227284
11661862410
12332b38b30
1319544c067
14d4a93700
15836c4e09
hex53d15354

1406227284 has 480 divisors, whose sum is σ = 5082134400. Its totient is φ = 331914240.

The previous prime is 1406227279. The next prime is 1406227477. The reversal of 1406227284 is 4827226041.

1406227284 is a `hidden beast` number, since 1 + 4 + 0 + 622 + 7 + 28 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48490582 + ... + 48490610.

It is an arithmetic number, because the mean of its divisors is an integer number (10587780).

Almost surely, 21406227284 is an apocalyptic number.

1406227284 is a gapful number since it is divisible by the number (14) 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 1406227284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541067200).

1406227284 is an abundant number, since it is smaller than the sum of its proper divisors (3675907116).

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

1406227284 is a wasteful number, since it uses less digits than its factorization.

1406227284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1406227284 is about 37499.6971187768. The cubic root of 1406227284 is about 1120.3451540385.

The spelling of 1406227284 in words is "one billion, four hundred six million, two hundred twenty-seven thousand, two hundred eighty-four".