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2151856740 = 22351124361113
BaseRepresentation
bin1000000001000010…
…1011101001100100
312112222002122111210
42000100223221210
513401333403430
6553305431420
7104216323545
oct20020535144
95488078453
102151856740
11a04737900
1250079b570
13283a76417
14165b084cc
15c8dac2b0
hex8042ba64

2151856740 has 288 divisors, whose sum is σ = 6948805248. Its totient is φ = 496742400.

The previous prime is 2151856699. The next prime is 2151856771. The reversal of 2151856740 is 476581512.

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 95 ways as a sum of consecutive naturals, for example, 19042924 + ... + 19043036.

It is an arithmetic number, because the mean of its divisors is an integer number (24127796).

Almost surely, 22151856740 is an apocalyptic number.

2151856740 is a gapful number since it is divisible by the number (20) 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 2151856740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474402624).

2151856740 is an abundant number, since it is smaller than the sum of its proper divisors (4796948508).

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

2151856740 is a wasteful number, since it uses less digits than its factorization.

2151856740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 2151856740 is about 46388.1098989817. The cubic root of 2151856740 is about 1291.0343125929.

The spelling of 2151856740 in words is "two billion, one hundred fifty-one million, eight hundred fifty-six thousand, seven hundred forty".