Search a number
-
+
2066514240 = 263572197223
BaseRepresentation
bin111101100101100…
…1000000101000000
312100000111210121110
41323023020011000
513213011423430
6541020323320
7102132036600
oct17313100500
95300453543
102066514240
1197054780a
124980a3540
1326c1953bb
14158650c00
15c16507b0
hex7b2c8140

2066514240 has 336 divisors, whose sum is σ = 7705539072. Its totient is φ = 467841024.

The previous prime is 2066514223. The next prime is 2066514257. The reversal of 2066514240 is 424156602.

It is an interprime number because it is at equal distance from previous prime (2066514223) and next prime (2066514257).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20665142402 = 8540962208245555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2066514198 and 2066514207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266769 + ... + 9266991.

It is an arithmetic number, because the mean of its divisors is an integer number (22933152).

Almost surely, 22066514240 is an apocalyptic number.

2066514240 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 2066514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852769536).

2066514240 is an abundant number, since it is smaller than the sum of its proper divisors (5639024832).

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

2066514240 is a wasteful number, since it uses less digits than its factorization.

2066514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2066514240 is about 45458.9291558875. The cubic root of 2066514240 is about 1273.7361285813.

The spelling of 2066514240 in words is "two billion, sixty-six million, five hundred fourteen thousand, two hundred forty".