[go: up one dir, main page]

Search a number
-
+
2238696000 = 263253173159
BaseRepresentation
bin1000010101101111…
…1100101001000000
312210000111112120200
42011123330221000
514041101233000
61010051005200
7106322413332
oct20533745100
95700445520
102238696000
11a4975a492
12525899800
13298a5c7b8
14173471452
15d1812500
hex856fca40

2238696000 has 672 divisors, whose sum is σ = 8901135360. Its totient is φ = 534528000.

The previous prime is 2238695993. The next prime is 2238696001. The reversal of 2238696000 is 6968322.

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 not an unprimeable number, because it can be changed into a prime (2238696001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37943971 + ... + 37944029.

Almost surely, 22238696000 is an apocalyptic number.

2238696000 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 2238696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450567680).

2238696000 is an abundant number, since it is smaller than the sum of its proper divisors (6662439360).

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

2238696000 is a wasteful number, since it uses less digits than its factorization.

2238696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

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

The square root of 2238696000 is about 47314.8602449590. The cubic root of 2238696000 is about 1308.1725777397.

The spelling of 2238696000 in words is "two billion, two hundred thirty-eight million, six hundred ninety-six thousand".