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145223808 = 273509743
BaseRepresentation
bin10001010011111…
…11000010000000
3101010021010121120
420221333002000
5244134130213
622224352240
73412245012
oct1051770200
9333233546
10145223808
1174a7a884
1240775680
1324118c62
14154041b2
15cb39423
hex8a7f080

145223808 has 64 divisors (see below), whose sum is σ = 387028800. Its totient is φ = 48247808.

The previous prime is 145223807. The next prime is 145223867. The reversal of 145223808 is 808322541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145223801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195085 + ... + 195827.

It is an arithmetic number, because the mean of its divisors is an integer number (6047325).

Almost surely, 2145223808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193514400).

145223808 is an abundant number, since it is smaller than the sum of its proper divisors (241804992).

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

145223808 is an equidigital number, since it uses as much as digits as its factorization.

145223808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 145223808 is about 12050.8841169435. The cubic root of 145223808 is about 525.6289459998.

The spelling of 145223808 in words is "one hundred forty-five million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 509 743 1018 1486 1527 2036 2229 2972 3054 4072 4458 5944 6108 8144 8916 11888 12216 16288 17832 23776 24432 32576 35664 47552 48864 65152 71328 95104 97728 142656 195456 285312 378187 756374 1134561 1512748 2269122 3025496 4538244 6050992 9076488 12101984 18152976 24203968 36305952 48407936 72611904 145223808