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198155052 = 223312714447
BaseRepresentation
bin10111100111110…
…01101100101100
3111210212022122000
423303321230230
5401211430202
631355052300
74624201344
oct1363715454
9453768560
10198155052
11a1942907
1256441090
133208c614
141c461d24
15125e291c
hexbcf9b2c

198155052 has 48 divisors (see below), whose sum is σ = 517816320. Its totient is φ = 65527056.

The previous prime is 198155033. The next prime is 198155059. The reversal of 198155052 is 250551891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198154998 and 198155016.

It is not an unprimeable number, because it can be changed into a prime (198155059) 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 15 ways as a sum of consecutive naturals, for example, 6493 + ... + 20939.

It is an arithmetic number, because the mean of its divisors is an integer number (10787840).

Almost surely, 2198155052 is an apocalyptic number.

198155052 is a gapful number since it is divisible by the number (12) 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 198155052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258908160).

198155052 is an abundant number, since it is smaller than the sum of its proper divisors (319661268).

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

198155052 is a wasteful number, since it uses less digits than its factorization.

198155052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 198155052 is about 14076.7557341882. The cubic root of 198155052 is about 582.9997695325. Note that the first 3 decimals are identical.

The spelling of 198155052 in words is "one hundred ninety-eight million, one hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6858 13716 14447 28894 43341 57788 86682 130023 173364 260046 390069 520092 780138 1560276 1834769 3669538 5504307 7339076 11008614 16512921 22017228 33025842 49538763 66051684 99077526 198155052