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234896200 = 235272112179
BaseRepresentation
bin11100000000000…
…11101101001000
3121100222222000021
432000003231020
5440113134300
635150350224
75551404400
oct1600035510
9540888007
10234896200
11110657aa0
12667bb374
1339884a46
14232a7800
151594dd1a
hexe003b48

234896200 has 144 divisors (see below), whose sum is σ = 693370800. Its totient is φ = 73180800.

The previous prime is 234896197. The next prime is 234896281. The reversal of 234896200 is 2698432.

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, 106711 + ... + 108889.

It is an arithmetic number, because the mean of its divisors is an integer number (4815075).

Almost surely, 2234896200 is an apocalyptic number.

234896200 is a gapful number since it is divisible by the number (20) 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 234896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346685400).

234896200 is an abundant number, since it is smaller than the sum of its proper divisors (458474600).

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

234896200 is a wasteful number, since it uses less digits than its factorization.

234896200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 234896200 is about 15326.3237601194. The cubic root of 234896200 is about 617.0097076840.

The spelling of 234896200 in words is "two hundred thirty-four million, eight hundred ninety-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2179 2200 2450 2695 3080 3850 4312 4358 4900 5390 7700 8716 9800 10780 10895 13475 15253 15400 17432 21560 21790 23969 26950 30506 43580 47938 53900 54475 61012 76265 87160 95876 106771 107800 108950 119845 122024 152530 167783 191752 213542 217900 239690 305060 335566 381325 427084 435800 479380 533855 599225 610120 671132 762650 838915 854168 958760 1067710 1174481 1198450 1342264 1525300 1677830 2135420 2348962 2396900 2669275 3050600 3355660 4194575 4270840 4697924 4793800 5338550 5872405 6711320 8389150 9395848 10677100 11744810 16778300 21354200 23489620 29362025 33556600 46979240 58724050 117448100 234896200