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2147857920 = 293251371101
BaseRepresentation
bin1000000000000101…
…1011011000000000
312112200120111011100
42000001123120000
513344322423140
6553044014400
7104140330305
oct20001333000
95480514140
102147857920
11a0245649a
124bb391400
13282ca6260
141653870ac
15c886c530
hex8005b600

2147857920 has 480 divisors, whose sum is σ = 8204099904. Its totient is φ = 516096000.

The previous prime is 2147857919. The next prime is 2147857931. The reversal of 2147857920 is 297587412.

It is a happy number.

2147857920 is a `hidden beast` number, since 2 + 1 + 4 + 78 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×21478579202 = 9226587289013452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21265870 + ... + 21265970.

Almost surely, 22147857920 is an apocalyptic number.

2147857920 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 2147857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102049952).

2147857920 is an abundant number, since it is smaller than the sum of its proper divisors (6056241984).

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

2147857920 is a wasteful number, since it uses less digits than its factorization.

2147857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2147857920 is about 46344.9880785398. The cubic root of 2147857920 is about 1290.2341020965.

The spelling of 2147857920 in words is "two billion, one hundred forty-seven million, eight hundred fifty-seven thousand, nine hundred twenty".