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2185400628 = 223320235191
BaseRepresentation
bin1000001001000010…
…1001000100110100
312122022012212002000
42002100221010310
513433430310003
61000504415300
7105104412255
oct20220510464
95568185060
102185400628
11a21668924
1250ba77530
1328a9bc488
1416a35ab2c
15cbcd61a3
hex82429134

2185400628 has 24 divisors (see below), whose sum is σ = 5665853760. Its totient is φ = 728466840.

The previous prime is 2185400627. The next prime is 2185400717. The reversal of 2185400628 is 8260045812.

2185400628 is a `hidden beast` number, since 21 + 8 + 5 + 4 + 0 + 0 + 628 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2185400592 and 2185400601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185400627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10117488 + ... + 10117703.

It is an arithmetic number, because the mean of its divisors is an integer number (236077240).

Almost surely, 22185400628 is an apocalyptic number.

It is an amenable number.

2185400628 is an abundant number, since it is smaller than the sum of its proper divisors (3480453132).

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

2185400628 is a wasteful number, since it uses less digits than its factorization.

2185400628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20235204 (or 20235196 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2185400628 is about 46748.2687166060. The cubic root of 2185400628 is about 1297.7081172396.

The spelling of 2185400628 in words is "two billion, one hundred eighty-five million, four hundred thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 20235191 40470382 60705573 80940764 121411146 182116719 242822292 364233438 546350157 728466876 1092700314 2185400628