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130222400 = 26527211151
BaseRepresentation
bin1111100001100…
…00100101000000
3100002000222112212
413300300211000
5231314104100
620531041252
73140605100
oct760604500
9302028485
10130222400
1167564020
1237740228
1320c95a99
141341b200
15b674635
hex7c30940

130222400 has 252 divisors, whose sum is σ = 409322016. Its totient is φ = 40320000.

The previous prime is 130222399. The next prime is 130222423. The reversal of 130222400 is 4222031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862325 + ... + 862475.

Almost surely, 2130222400 is an apocalyptic number.

130222400 is a gapful number since it is divisible by the number (10) 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 130222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204661008).

130222400 is an abundant number, since it is smaller than the sum of its proper divisors (279099616).

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

130222400 is a wasteful number, since it uses less digits than its factorization.

130222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130222400 is about 11411.5029684963. The cubic root of 130222400 is about 506.8684176529.

Adding to 130222400 its reverse (4222031), we get a palindrome (134444431).

The spelling of 130222400 in words is "one hundred thirty million, two hundred twenty-two thousand, four hundred".