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402220424000 = 2653192139273
BaseRepresentation
bin1011101101001100011…
…01001001101101000000
31102110012102200121002202
411312212031021231000
523042221412032000
6504435535332332
741026253123243
oct5664615115500
91373172617082
10402220424000
11145642a4185a
1265b529810a8
132bc106710b5
141567903925a
15a6e17ebdd5
hex5da6349b40

402220424000 has 168 divisors, whose sum is σ = 1051291961928. Its totient is φ = 152419276800.

The previous prime is 402220423991. The next prime is 402220424009. The reversal of 402220424000 is 424022204.

It is an interprime number because it is at equal distance from previous prime (402220423991) and next prime (402220424009).

It can be written as a sum of positive squares in 4 ways, for example, as 8710115584 + 393510308416 = 93328^2 + 627304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402220424009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2818364 + ... + 2957636.

Almost surely, 2402220424000 is an apocalyptic number.

402220424000 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 402220424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525645980964).

402220424000 is an abundant number, since it is smaller than the sum of its proper divisors (649071537928).

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

402220424000 is a wasteful number, since it uses less digits than its factorization.

402220424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139338 (or 139299 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 402220424000 its reverse (424022204), we get a palindrome (402644446204).

The spelling of 402220424000 in words is "four hundred two billion, two hundred twenty million, four hundred twenty-four thousand".