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2234011032 = 23321119314789
BaseRepresentation
bin1000010100101000…
…0100110110011000
312202200200112000100
42011022010312120
514033401323112
61005402335400
7106234531461
oct20512046630
95680615010
102234011032
11a4704a610
125241ba560
13297aac226
141729b1d68
15d11d92dc
hex85284d98

2234011032 has 192 divisors, whose sum is σ = 7173504000. Its totient is φ = 620524800.

The previous prime is 2234011019. The next prime is 2234011061. The reversal of 2234011032 is 2301104322.

2234011032 is a `hidden beast` number, since 223 + 401 + 10 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2234010996 and 2234011014.

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, 464094 + ... + 468882.

It is an arithmetic number, because the mean of its divisors is an integer number (37362000).

Almost surely, 22234011032 is an apocalyptic number.

2234011032 is a gapful number since it is divisible by the number (22) 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 2234011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586752000).

2234011032 is an abundant number, since it is smaller than the sum of its proper divisors (4939492968).

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

2234011032 is a wasteful number, since it uses less digits than its factorization.

2234011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2234011032 is about 47265.3258954172. The cubic root of 2234011032 is about 1307.2593933239.

Adding to 2234011032 its reverse (2301104322), we get a palindrome (4535115354).

The spelling of 2234011032 in words is "two billion, two hundred thirty-four million, eleven thousand, thirty-two".