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2187197640 = 233454753271
BaseRepresentation
bin1000001001011101…
…1111110011001000
312122102121011010000
42002113133303020
513434410311030
61001011123000
7105125605335
oct20227376310
95572534100
102187197640
11a22685a61
125105a3460
1328b19b3b4
1416a6a798c
15cc03d860
hex825dfcc8

2187197640 has 320 divisors, whose sum is σ = 7677711360. Its totient is φ = 558005760.

The previous prime is 2187197633. The next prime is 2187197651. The reversal of 2187197640 is 467917812.

It is a happy number.

2187197640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8070705 + ... + 8070975.

It is an arithmetic number, because the mean of its divisors is an integer number (23992848).

Almost surely, 22187197640 is an apocalyptic number.

2187197640 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 2187197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838855680).

2187197640 is an abundant number, since it is smaller than the sum of its proper divisors (5490513720).

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

2187197640 is a wasteful number, since it uses less digits than its factorization.

2187197640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2187197640 is about 46767.4848586066. The cubic root of 2187197640 is about 1298.0637130872.

The spelling of 2187197640 in words is "two billion, one hundred eighty-seven million, one hundred ninety-seven thousand, six hundred forty".