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402230401200 = 243252162168927
BaseRepresentation
bin1011101101001101100…
…11001101100010110000
31102110020010110111020200
411312212303031202300
523042231440314300
6504440533235200
741026433666265
oct5664663154260
91373203414220
10402230401200
11145648636881
1265b56192b00
132bc12755474
141567a4b526c
15a6e261d200
hex5da6ccd8b0

402230401200 has 180 divisors, whose sum is σ = 1396732591488. Its totient is φ = 107193715200.

The previous prime is 402230401171. The next prime is 402230401201. The reversal of 402230401200 is 2104032204.

402230401200 is a `hidden beast` number, since 40 + 2 + 23 + 0 + 401 + 200 = 666.

402230401200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4022304012002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402230401201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5801137 + ... + 5870063.

Almost surely, 2402230401200 is an apocalyptic number.

402230401200 is a gapful number since it is divisible by the number (40) 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 402230401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698366295744).

402230401200 is an abundant number, since it is smaller than the sum of its proper divisors (994502190288).

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

402230401200 is a wasteful number, since it uses less digits than its factorization.

402230401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70572 (or 70558 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 402230401200 its reverse (2104032204), we get a palindrome (404334433404).

The spelling of 402230401200 in words is "four hundred two billion, two hundred thirty million, four hundred one thousand, two hundred".