Search a number
-
+
51600222 = 23229412411
BaseRepresentation
bin1100010011010…
…1101101011110
310121002120012100
43010311231132
5101202201342
65041545530
71164410652
oct304655536
9117076170
1051600222
1127144013
12153452a6
13a8c889b
146bd2a62
1547e3e4c
hex3135b5e

51600222 has 48 divisors (see below), whose sum is σ = 118525680. Its totient is φ = 16195200.

The previous prime is 51600221. The next prime is 51600223. The reversal of 51600222 is 22200615.

It is an interprime number because it is at equal distance from previous prime (51600221) and next prime (51600223).

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 = 51600195 and 51600204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51600221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20197 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (2469285).

Almost surely, 251600222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51600222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59262840).

51600222 is an abundant number, since it is smaller than the sum of its proper divisors (66925458).

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

51600222 is a wasteful number, since it uses less digits than its factorization.

51600222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51600222 is about 7183.3294508884. The cubic root of 51600222 is about 372.2921309186.

Adding to 51600222 its reverse (22200615), we get a palindrome (73800837).

The spelling of 51600222 in words is "fifty-one million, six hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 2411 3567 4822 7134 7233 10701 14466 21402 21699 43398 69919 98851 139838 197702 209757 296553 419514 593106 629271 889659 1258542 1779318 2866679 5733358 8600037 17200074 25800111 51600222