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10223442144 = 253235498063
BaseRepresentation
bin10011000010101110…
…10101100011100000
3222101111012200010100
421201113111203200
5131414200122034
64410243502400
7511226552526
oct114127254340
928344180110
1010223442144
114376959443
121b93987a00
13c6c091866
146cdac8316
153ec7e8099
hex2615d58e0

10223442144 has 36 divisors (see below), whose sum is σ = 29072914416. Its totient is φ = 3407813952.

The previous prime is 10223442101. The next prime is 10223442197. The reversal of 10223442144 is 44124432201.

10223442144 is a `hidden beast` number, since 1 + 0 + 2 + 234 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17748744 + ... + 17749319.

It is an arithmetic number, because the mean of its divisors is an integer number (807580956).

Almost surely, 210223442144 is an apocalyptic number.

It is an amenable number.

10223442144 is an abundant number, since it is smaller than the sum of its proper divisors (18849472272).

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

10223442144 is a wasteful number, since it uses less digits than its factorization.

10223442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35498079 (or 35498068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10223442144 its reverse (44124432201), we get a palindrome (54347874345).

The spelling of 10223442144 in words is "ten billion, two hundred twenty-three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35498063 70996126 106494189 141992252 212988378 283984504 319482567 425976756 567969008 638965134 851953512 1135938016 1277930268 1703907024 2555860536 3407814048 5111721072 10223442144