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153144222 = 237112111571
BaseRepresentation
bin10010010000011…
…00101110011110
3101200011112101020
421020030232132
5303201103342
623110225010
73536463420
oct1110145636
9350145336
10153144222
117949a580
1243355166
13259600aa
14164a6810
15d6a10ec
hex920cb9e

153144222 has 64 divisors (see below), whose sum is σ = 383920128. Its totient is φ = 39564000.

The previous prime is 153144209. The next prime is 153144227. The reversal of 153144222 is 222441351.

It is a junction number, because it is equal to n+sod(n) for n = 153144192 and 153144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153144227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96697 + ... + 98267.

It is an arithmetic number, because the mean of its divisors is an integer number (5998752).

Almost surely, 2153144222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153144222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191960064).

153144222 is an abundant number, since it is smaller than the sum of its proper divisors (230775906).

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

153144222 is a wasteful number, since it uses less digits than its factorization.

153144222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805.

The product of its digits is 1920, while the sum is 24.

The square root of 153144222 is about 12375.1453324799. The cubic root of 153144222 is about 535.0161255220.

Adding to 153144222 its reverse (222441351), we get a palindrome (375585573).

It can be divided in two parts, 1531 and 44222, that added together give a triangular number (45753 = T302).

The spelling of 153144222 in words is "one hundred fifty-three million, one hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 211 231 422 462 633 1266 1477 1571 2321 2954 3142 4431 4642 4713 6963 8862 9426 10997 13926 16247 17281 21994 32494 32991 34562 48741 51843 65982 97482 103686 120967 241934 331481 362901 662962 725802 994443 1988886 2320367 3646291 4640734 6961101 7292582 10938873 13922202 21877746 25524037 51048074 76572111 153144222