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198210420 = 223251101169
BaseRepresentation
bin10111101000001…
…11001101110100
3111210222010120200
423310013031310
5401220213140
631400200500
74624521642
oct1364071564
9453863520
10198210420
11a1980471
1256469130
13320ab895
141c478192
1512604030
hexbd07374

198210420 has 36 divisors (see below), whose sum is σ = 601238820. Its totient is φ = 52856064.

The previous prime is 198210409. The next prime is 198210431. The reversal of 198210420 is 24012891.

198210420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198210409) and next prime (198210431).

It can be written as a sum of positive squares in 2 ways, for example, as 87834384 + 110376036 = 9372^2 + 10506^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550405 + ... + 550764.

Almost surely, 2198210420 is an apocalyptic number.

198210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198210420 is an abundant number, since it is smaller than the sum of its proper divisors (403028400).

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

198210420 is a wasteful number, since it uses less digits than its factorization.

198210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101184 (or 1101179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 198210420 is about 14078.7222431583. The cubic root of 198210420 is about 583.0540645991.

The spelling of 198210420 in words is "one hundred ninety-eight million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1101169 2202338 3303507 4404676 5505845 6607014 9910521 11011690 13214028 16517535 19821042 22023380 33035070 39642084 49552605 66070140 99105210 198210420