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1807223040 = 28325773307
BaseRepresentation
bin110101110111000…
…0000100100000000
311122221121102221200
41223232000210000
512200122114130
6455155021200
762533066560
oct15356004400
94587542850
101807223040
11848148467
1242529a800
1322a54b95c
14132036da0
15a89d3760
hex6bb80900

1807223040 has 432 divisors, whose sum is σ = 7267548288. Its totient is φ = 406093824.

The previous prime is 1807223009. The next prime is 1807223059. The reversal of 1807223040 is 403227081.

It is a junction number, because it is equal to n+sod(n) for n = 1807222995 and 1807223013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886567 + ... + 5886873.

Almost surely, 21807223040 is an apocalyptic number.

1807223040 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 1807223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633774144).

1807223040 is an abundant number, since it is smaller than the sum of its proper divisors (5460325248).

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

1807223040 is a wasteful number, since it uses less digits than its factorization.

1807223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1807223040 is about 42511.4459881101. The cubic root of 1807223040 is about 1218.0653382083.

The spelling of 1807223040 in words is "one billion, eight hundred seven million, two hundred twenty-three thousand, forty".