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5228150400 = 273352115501
BaseRepresentation
bin1001101111001111…
…10011111010000000
3111111100200120002000
410313213303322000
541201401303100
62222441224000
7243362354664
oct46747637200
914440616060
105228150400
112243177860
12101aa92000
136541c1025
143784d08a4
15208ec1900
hex1379f3e80

5228150400 has 384 divisors, whose sum is σ = 20876788800. Its totient is φ = 1267200000.

The previous prime is 5228150377. The next prime is 5228150419. The reversal of 5228150400 is 40518225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 947650 + ... + 953150.

Almost surely, 25228150400 is an apocalyptic number.

5228150400 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 5228150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438394400).

5228150400 is an abundant number, since it is smaller than the sum of its proper divisors (15648638400).

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

5228150400 is a wasteful number, since it uses less digits than its factorization.

5228150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5228150400 is about 72305.9499626414. The cubic root of 5228150400 is about 1735.5988653191.

Adding to 5228150400 its reverse (40518225), we get a palindrome (5268668625).

The spelling of 5228150400 in words is "five billion, two hundred twenty-eight million, one hundred fifty thousand, four hundred".