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10223332152 = 2331138724743
BaseRepresentation
bin10011000010101101…
…11010101100111000
3222101111000002020120
421201112322230320
5131414133112102
64410241253240
7511225614045
oct114126725470
928344002216
1010223332152
114376893840
121b93934220
13c6c053787
146cda9a1cc
153ec7c56bc
hex2615bab38

10223332152 has 32 divisors (see below), whose sum is σ = 27881815680. Its totient is φ = 3097979360.

The previous prime is 10223332151. The next prime is 10223332159. The reversal of 10223332152 is 25123332201.

It is a happy number.

10223332152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102233321522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223332151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19362108 + ... + 19362635.

It is an arithmetic number, because the mean of its divisors is an integer number (871306740).

Almost surely, 210223332152 is an apocalyptic number.

10223332152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223332152 is an abundant number, since it is smaller than the sum of its proper divisors (17658483528).

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

10223332152 is a wasteful number, since it uses less digits than its factorization.

10223332152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38724763 (or 38724759 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10223332152 its reverse (25123332201), we get a palindrome (35346664353).

The spelling of 10223332152 in words is "ten billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 38724743 77449486 116174229 154898972 232348458 309797944 425972173 464696916 851944346 929393832 1277916519 1703888692 2555833038 3407777384 5111666076 10223332152