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53102228400 = 24335213613617
BaseRepresentation
bin110001011101001000…
…111011001110110000
312002001210012200222000
4301131020323032300
51332223132302100
640221141014000
73556631331264
oct613510731660
9162053180860
1053102228400
112057a907181
12a35b9b4300
135013698130
1427da7480a4
1515abdcd900
hexc5d23b3b0

53102228400 has 480 divisors, whose sum is σ = 204205888320. Its totient is φ = 13028843520.

The previous prime is 53102228393. The next prime is 53102228407. The reversal of 53102228400 is 482220135.

53102228400 is a `hidden beast` number, since 5 + 31 + 0 + 2 + 228 + 400 = 666.

53102228400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53102228393) and next prime (53102228407).

It is a super-2 number, since 2×531022284002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53102228407) 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, 86064892 + ... + 86065508.

It is an arithmetic number, because the mean of its divisors is an integer number (425428934).

Almost surely, 253102228400 is an apocalyptic number.

53102228400 is a gapful number since it is divisible by the number (50) 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 53102228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102944160).

53102228400 is an abundant number, since it is smaller than the sum of its proper divisors (151103659920).

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

53102228400 is a wasteful number, since it uses less digits than its factorization.

53102228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 53102228400 its reverse (482220135), we get a palindrome (53584448535).

The spelling of 53102228400 in words is "fifty-three billion, one hundred two million, two hundred twenty-eight thousand, four hundred".