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198955620 = 223251105309
BaseRepresentation
bin10111101101111…
…01001001100100
3111212100222210200
423312331021210
5401413034440
631424150500
74634044353
oct1366751144
9455328720
10198955620
11a233a336
1256768430
13322acb26
141c5cd99a
15126eec30
hexbdbd264

198955620 has 36 divisors (see below), whose sum is σ = 603499260. Its totient is φ = 53054784.

The previous prime is 198955609. The next prime is 198955621. The reversal of 198955620 is 26559891.

198955620 is a `hidden beast` number, since 1 + 9 + 89 + 5 + 562 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150847524 + 48108096 = 12282^2 + 6936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (198955621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552475 + ... + 552834.

Almost surely, 2198955620 is an apocalyptic number.

198955620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198955620 is an abundant number, since it is smaller than the sum of its proper divisors (404543640).

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

198955620 is a wasteful number, since it uses less digits than its factorization.

198955620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105324 (or 1105319 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 198955620 is about 14105.1628845611. The cubic root of 198955620 is about 583.7838420956.

The spelling of 198955620 in words is "one hundred ninety-eight million, nine hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1105309 2210618 3315927 4421236 5526545 6631854 9947781 11053090 13263708 16579635 19895562 22106180 33159270 39791124 49738905 66318540 99477810 198955620