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2114157024 = 253471091069
BaseRepresentation
bin111111000000011…
…0111100111100000
312110100011022020000
41332000313213200
513312211011044
6545441420000
7103251016050
oct17600674740
95410138200
102114157024
11995428511
124b003a600
132790068b5
14160ad3560
15c5911d69
hex7e0379e0

2114157024 has 240 divisors, whose sum is σ = 7177816800. Its totient is φ = 597943296.

The previous prime is 2114157013. The next prime is 2114157167. The reversal of 2114157024 is 4207514112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1977162 + ... + 1978230.

It is an arithmetic number, because the mean of its divisors is an integer number (29907570).

Almost surely, 22114157024 is an apocalyptic number.

2114157024 is a gapful number since it is divisible by the number (24) 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 2114157024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588908400).

2114157024 is an abundant number, since it is smaller than the sum of its proper divisors (5063659776).

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

2114157024 is a wasteful number, since it uses less digits than its factorization.

2114157024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2114157024 is about 45979.9632883716. The cubic root of 2114157024 is about 1283.4503718000.

The spelling of 2114157024 in words is "two billion, one hundred fourteen million, one hundred fifty-seven thousand, twenty-four".