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196208100 = 2232521119819
BaseRepresentation
bin10111011000111…
…10010111100100
3111200012101220200
423230132113210
5400212124400
631245230500
74601512164
oct1354362744
9450171820
10196208100
11a0833060
1255862430
133185a38a
141c0b65a4
151235ab00
hexbb1e5e4

196208100 has 108 divisors (see below), whose sum is σ = 670946640. Its totient is φ = 47563200.

The previous prime is 196208087. The next prime is 196208137. The reversal of 196208100 is 1802691.

It is a super-2 number, since 2×1962081002 = 76995237011220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10 + ... + 19809.

Almost surely, 2196208100 is an apocalyptic number.

196208100 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 196208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335473320).

196208100 is an abundant number, since it is smaller than the sum of its proper divisors (474738540).

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

196208100 is a wasteful number, since it uses less digits than its factorization.

196208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 196208100 is about 14007.4301711627. The cubic root of 196208100 is about 581.0840802870.

The spelling of 196208100 in words is "one hundred ninety-six million, two hundred eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 19819 39638 59457 79276 99095 118914 178371 198190 218009 237828 297285 356742 396380 436018 495475 594570 654027 713484 872036 891855 990950 1090045 1189140 1308054 1486425 1783710 1962081 1981900 2180090 2616108 2972850 3270135 3567420 3924162 4360180 4459275 5450225 5945700 6540270 7848324 8918550 9810405 10900450 13080540 16350675 17837100 19620810 21800900 32701350 39241620 49052025 65402700 98104050 196208100