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402223012002 = 232725373311379
BaseRepresentation
bin1011101101001100101…
…11000001100010100010
31102110012121120002011200
411312212113001202202
523042223042341002
6504440111022030
741026314122400
oct5664627014242
91373177502150
10402223012002
1114564444a1a9
1265b5380a916
132bc11069066
1415679510470
15a6e1b5db1c
hex5da65c18a2

402223012002 has 288 divisors, whose sum is σ = 1053181284480. Its totient is φ = 110557923840.

The previous prime is 402223011991. The next prime is 402223012003. The reversal of 402223012002 is 200210322204.

It is a super-2 number, since 2×4022230120022 (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 (402223012003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1061274249 + ... + 1061274627.

It is an arithmetic number, because the mean of its divisors is an integer number (3656879460).

Almost surely, 2402223012002 is an apocalyptic number.

402223012002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 402223012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526590642240).

402223012002 is an abundant number, since it is smaller than the sum of its proper divisors (650958272478).

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

402223012002 is a wasteful number, since it uses less digits than its factorization.

402223012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

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

Adding to 402223012002 its reverse (200210322204), we get a palindrome (602433334206).

The spelling of 402223012002 in words is "four hundred two billion, two hundred twenty-three million, twelve thousand, two".