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2097155400 = 2335219712591
BaseRepresentation
bin111110100000000…
…0000110101001000
312102011011112101020
41331000000311020
513243332433100
6544033152440
7102653345454
oct17500006510
95364145336
102097155400
1198687598a
124a63bb720
13275633172
1415c749664
15c41a45a0
hex7d000d48

2097155400 has 192 divisors, whose sum is σ = 6942412800. Its totient is φ = 522144000.

The previous prime is 2097155399. The next prime is 2097155407. The reversal of 2097155400 is 45517902.

It is not an unprimeable number, because it can be changed into a prime (2097155407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808105 + ... + 810695.

It is an arithmetic number, because the mean of its divisors is an integer number (36158400).

Almost surely, 22097155400 is an apocalyptic number.

2097155400 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 2097155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471206400).

2097155400 is an abundant number, since it is smaller than the sum of its proper divisors (4845257400).

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

2097155400 is a wasteful number, since it uses less digits than its factorization.

2097155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 2097155400 is about 45794.7093014029. The cubic root of 2097155400 is about 1280.0006917314. Note that the first 3 decimals are identical.

The spelling of 2097155400 in words is "two billion, ninety-seven million, one hundred fifty-five thousand, four hundred".