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194022080 = 2657372341
BaseRepresentation
bin10111001000010…
…00101011000000
3111112002100020222
423210020223000
5344132201310
631130322212
74544106020
oct1344105300
9445070228
10194022080
119a57a72a
1254b89368
1331273385
141baa7a80
1512078055
hexb908ac0

194022080 has 112 divisors (see below), whose sum is σ = 542519616. Its totient is φ = 64696320.

The previous prime is 194022077. The next prime is 194022083. The reversal of 194022080 is 80220491.

194022080 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 (194022077) and next prime (194022083).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (194022083) 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, 81710 + ... + 84050.

Almost surely, 2194022080 is an apocalyptic number.

194022080 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 194022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271259808).

194022080 is an abundant number, since it is smaller than the sum of its proper divisors (348497536).

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

194022080 is a wasteful number, since it uses less digits than its factorization.

194022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 194022080 is about 13929.1808804395. The cubic root of 194022080 is about 578.9179986145.

The spelling of 194022080 in words is "one hundred ninety-four million, twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2341 2368 2590 2960 4144 4682 5180 5920 8288 9364 10360 11705 11840 16387 16576 18728 20720 23410 32774 37456 41440 46820 65548 74912 81935 82880 86617 93640 131096 149824 163870 173234 187280 262192 327740 346468 374560 433085 524384 606319 655480 692936 749120 866170 1048768 1212638 1310960 1385872 1732340 2425276 2621920 2771744 3031595 3464680 4850552 5243840 5543488 6063190 6929360 9701104 12126380 13858720 19402208 24252760 27717440 38804416 48505520 97011040 194022080