Search a number
-
+
147222000 = 2432538179
BaseRepresentation
bin10001100011001…
…10110111110000
3101021000122121200
420301212313300
5300142101000
622335251200
73435236442
oct1061466760
9337018550
10147222000
1176115082
1241379b00
1324668613
14157a4492
15cdd1500
hex8c66df0

147222000 has 120 divisors (see below), whose sum is σ = 514260240. Its totient is φ = 39254400.

The previous prime is 147221993. The next prime is 147222017. The reversal of 147222000 is 222741.

147222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13911 + ... + 22089.

It is an arithmetic number, because the mean of its divisors is an integer number (4285502).

Almost surely, 2147222000 is an apocalyptic number.

147222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257130120).

147222000 is an abundant number, since it is smaller than the sum of its proper divisors (367038240).

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

147222000 is a wasteful number, since it uses less digits than its factorization.

147222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 147222000 is about 12133.5073247598. The cubic root of 147222000 is about 528.0287518778.

Adding to 147222000 its reverse (222741), we get a palindrome (147444741).

The spelling of 147222000 in words is "one hundred forty-seven million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 8179 9000 16358 18000 24537 32716 40895 49074 65432 73611 81790 98148 122685 130864 147222 163580 196296 204475 245370 294444 327160 368055 392592 408950 490740 588888 613425 654320 736110 817900 981480 1022375 1177776 1226850 1472220 1635800 1840275 1962960 2044750 2453700 2944440 3067125 3271600 3680550 4089500 4907400 5888880 6134250 7361100 8179000 9201375 9814800 12268500 14722200 16358000 18402750 24537000 29444400 36805500 49074000 73611000 147222000