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2215148040 = 2333571132593
BaseRepresentation
bin1000010000001000…
…0111101000001000
312201101012011212000
42010002013220020
514014034214130
61003450151000
7105615306360
oct20402075010
95641164760
102215148040
11a37436566
12519a22460
13293c064b1
141702a19a0
15ce710260
hex84087a08

2215148040 has 256 divisors, whose sum is σ = 8516620800. Its totient is φ = 501645312.

The previous prime is 2215148029. The next prime is 2215148051. The reversal of 2215148040 is 408415122.

It is an interprime number because it is at equal distance from previous prime (2215148029) and next prime (2215148051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2215147995 and 2215148013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852984 + ... + 855576.

It is an arithmetic number, because the mean of its divisors is an integer number (33268050).

Almost surely, 22215148040 is an apocalyptic number.

2215148040 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 2215148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258310400).

2215148040 is an abundant number, since it is smaller than the sum of its proper divisors (6301472760).

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

2215148040 is a wasteful number, since it uses less digits than its factorization.

2215148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2215148040 is about 47065.3592358541. The cubic root of 2215148040 is about 1303.5696840631.

The spelling of 2215148040 in words is "two billion, two hundred fifteen million, one hundred forty-eight thousand, forty".