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2374223040 = 2632572931131
BaseRepresentation
bin1000110110000011…
…1100010011000000
320010110112000201200
42031200330103000
514330300114130
61031331501200
7112556364030
oct21540742300
96113460650
102374223040
111009206a02
12563157800
132bab61c07
1418746d8c0
15dd683760
hex8d83c4c0

2374223040 has 672 divisors, whose sum is σ = 10042306560. Its totient is φ = 503193600.

The previous prime is 2374223023. The next prime is 2374223053. The reversal of 2374223040 is 403224732.

2374223040 is a `hidden beast` number, since 237 + 422 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2374222995 and 2374223013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18123775 + ... + 18123905.

Almost surely, 22374223040 is an apocalyptic number.

2374223040 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 2374223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021153280).

2374223040 is an abundant number, since it is smaller than the sum of its proper divisors (7668083520).

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

2374223040 is a wasteful number, since it uses less digits than its factorization.

2374223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2374223040 is about 48725.9996305874. Note that the first 3 decimals coincide. The cubic root of 2374223040 is about 1334.0553178721.

Adding to 2374223040 its reverse (403224732), we get a palindrome (2777447772).

The spelling of 2374223040 in words is "two billion, three hundred seventy-four million, two hundred twenty-three thousand, forty".