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2012197152 = 25373531153
BaseRepresentation
bin111011111101111…
…1011000100100000
312012020022012120110
41313323323010200
513110110302102
6531400211320
7100602252000
oct16773730440
95166265513
102012197152
11942918559
12481a69b40
13260b58004
14151352000
15bb9c186c
hex77efb120

2012197152 has 192 divisors, whose sum is σ = 6281452800. Its totient is φ = 563576832.

The previous prime is 2012197151. The next prime is 2012197153. The reversal of 2012197152 is 2517912102.

It is an interprime number because it is at equal distance from previous prime (2012197151) and next prime (2012197153).

It is a super-2 number, since 2×20121971522 = 8097874757033822208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2012197151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744608 + ... + 1745760.

It is an arithmetic number, because the mean of its divisors is an integer number (32715900).

Almost surely, 22012197152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140726400).

2012197152 is an abundant number, since it is smaller than the sum of its proper divisors (4269255648).

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

2012197152 is a wasteful number, since it uses less digits than its factorization.

2012197152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2012197152 is about 44857.5205734780. The cubic root of 2012197152 is about 1262.4771022478.

The spelling of 2012197152 in words is "two billion, twelve million, one hundred ninety-seven thousand, one hundred fifty-two".