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198226656 = 2533313733
BaseRepresentation
bin10111101000010…
…11001011100000
3111210222221212000
423310023023200
5401221223111
631400404000
74624620165
oct1364131340
9453887760
10198226656
11a1991691
1256476600
13320b60a4
141c48006c
1512608c56
hexbd0b2e0

198226656 has 96 divisors (see below), whose sum is σ = 580799520. Its totient is φ = 65774592.

The previous prime is 198226643. The next prime is 198226657. The reversal of 198226656 is 656622891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198226657) 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 15 ways as a sum of consecutive naturals, for example, 270066 + ... + 270798.

It is an arithmetic number, because the mean of its divisors is an integer number (6049995).

Almost surely, 2198226656 is an apocalyptic number.

198226656 is a gapful number since it is divisible by the number (16) 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 198226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290399760).

198226656 is an abundant number, since it is smaller than the sum of its proper divisors (382572864).

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

198226656 is a wasteful number, since it uses less digits than its factorization.

198226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 198226656 is about 14079.2988461784. The cubic root of 198226656 is about 583.0699840570.

The spelling of 198226656 in words is "one hundred ninety-eight million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 313 432 626 733 864 939 1252 1466 1878 2199 2504 2817 2932 3756 4398 5008 5634 5864 6597 7512 8451 8796 10016 11268 11728 13194 15024 16902 17592 19791 22536 23456 26388 30048 33804 35184 39582 45072 52776 67608 70368 79164 90144 105552 135216 158328 211104 229429 270432 316656 458858 633312 688287 917716 1376574 1835432 2064861 2753148 3670864 4129722 5506296 6194583 7341728 8259444 11012592 12389166 16518888 22025184 24778332 33037776 49556664 66075552 99113328 198226656