Search a number
-
+
2238156480 = 263572711229
BaseRepresentation
bin1000010101100111…
…1000111011000000
312202222111010111110
42011121320323000
514040432001410
61010031243320
7106315005360
oct20531707300
95688433443
102238156480
11a494210aa
12525679540
13298901061
141733709a0
15d1757720
hex85678ec0

2238156480 has 224 divisors, whose sum is σ = 8157911040. Its totient is φ = 509276160.

The previous prime is 2238156469. The next prime is 2238156491. The reversal of 2238156480 is 846518322.

It is an interprime number because it is at equal distance from previous prime (2238156469) and next prime (2238156491).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×22381564803 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820506 + ... + 1821734.

Almost surely, 22238156480 is an apocalyptic number.

2238156480 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 2238156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078955520).

2238156480 is an abundant number, since it is smaller than the sum of its proper divisors (5919754560).

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

2238156480 is a wasteful number, since it uses less digits than its factorization.

2238156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2238156480 is about 47309.1585213688. The cubic root of 2238156480 is about 1308.0674805500.

The spelling of 2238156480 in words is "two billion, two hundred thirty-eight million, one hundred fifty-six thousand, four hundred eighty".