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2190666240 = 29325717247
BaseRepresentation
bin1000001010010010…
…1110101000000000
312122200010101010200
42002210232220000
513441302304430
61001213325200
7105200233020
oct20244565000
95580111120
102190666240
11a24634a74
12511796800
1328bb14119
1416ad2ba80
15cc4c6460
hex8292ea00

2190666240 has 720 divisors, whose sum is σ = 9406755072. Its totient is φ = 461242368.

The previous prime is 2190666239. The next prime is 2190666241. The reversal of 2190666240 is 426660912.

It is an interprime number because it is at equal distance from previous prime (2190666239) and next prime (2190666241).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2190666195 and 2190666204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190666241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46609897 + ... + 46609943.

Almost surely, 22190666240 is an apocalyptic number.

2190666240 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 2190666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703377536).

2190666240 is an abundant number, since it is smaller than the sum of its proper divisors (7216088832).

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

2190666240 is a wasteful number, since it uses less digits than its factorization.

2190666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2190666240 is about 46804.5536246208. The cubic root of 2190666240 is about 1298.7495352412.

The spelling of 2190666240 in words is "two billion, one hundred ninety million, six hundred sixty-six thousand, two hundred forty".