Search a number
-
+
196213600 = 25521122027
BaseRepresentation
bin10111011000111…
…11101101100000
3111200012200110101
423230133231200
5400212313400
631245312144
74601534212
oct1354375540
9450180411
10196213600
11a0837200
1255865654
133185ca2b
141c0b85b2
151235c56a
hexbb1fb60

196213600 has 108 divisors (see below), whose sum is σ = 526770972. Its totient is φ = 71315200.

The previous prime is 196213597. The next prime is 196213613. The reversal of 196213600 is 6312691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95787 + ... + 97813.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2196213600 is an apocalyptic number.

196213600 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 196213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263385486).

196213600 is an abundant number, since it is smaller than the sum of its proper divisors (330557372).

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

196213600 is a wasteful number, since it uses less digits than its factorization.

196213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 196213600 is about 14007.6264941638. The cubic root of 196213600 is about 581.0895097818.

The spelling of 196213600 in words is "one hundred ninety-six million, two hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2027 2200 2420 3025 3872 4054 4400 4840 6050 8108 8800 9680 10135 12100 16216 19360 20270 22297 24200 32432 40540 44594 48400 50675 64864 81080 89188 96800 101350 111485 162160 178376 202700 222970 245267 324320 356752 405400 445940 490534 557425 713504 810800 891880 981068 1114850 1226335 1621600 1783760 1962136 2229700 2452670 3567520 3924272 4459400 4905340 6131675 7848544 8918800 9810680 12263350 17837600 19621360 24526700 39242720 49053400 98106800 196213600