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194431840 = 25541107277
BaseRepresentation
bin10111001011011…
…00101101100000
3111112212011100021
423211230231200
5344233304330
631143203224
74550433451
oct1345545540
9445764307
10194431840
119a82a579
1255146514
1331387a35
141bb73128
151210967a
hexb96cb60

194431840 has 96 divisors (see below), whose sum is σ = 476661024. Its totient is φ = 74895360.

The previous prime is 194431837. The next prime is 194431841. The reversal of 194431840 is 48134491.

194431840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 194431796 and 194431805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194431841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701782 + ... + 702058.

It is an arithmetic number, because the mean of its divisors is an integer number (4965219).

Almost surely, 2194431840 is an apocalyptic number.

194431840 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 194431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238330512).

194431840 is an abundant number, since it is smaller than the sum of its proper divisors (282229184).

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

194431840 is a wasteful number, since it uses less digits than its factorization.

194431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 194431840 is about 13943.8818124653. The cubic root of 194431840 is about 579.3252557673.

The spelling of 194431840 in words is "one hundred ninety-four million, four hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 107 160 164 205 214 277 328 410 428 535 554 656 820 856 1070 1108 1312 1385 1640 1712 2140 2216 2770 3280 3424 4280 4387 4432 5540 6560 8560 8774 8864 11080 11357 17120 17548 21935 22160 22714 29639 35096 43870 44320 45428 56785 59278 70192 87740 90856 113570 118556 140384 148195 175480 181712 227140 237112 296390 350960 363424 454280 474224 592780 701920 908560 948448 1185560 1215199 1817120 2371120 2430398 4742240 4860796 6075995 9721592 12151990 19443184 24303980 38886368 48607960 97215920 194431840