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194264064 = 21032107197
BaseRepresentation
bin10111001010000…
…11110000000000
3111112112122012100
423211003300000
5344212422224
631135430400
74546134351
oct1345036000
9445478170
10194264064
119a725515
1255085400
1331329567
141bb2bd28
15120c4ac9
hexb943c00

194264064 has 132 divisors (see below), whose sum is σ = 569049624. Its totient is φ = 63823872.

The previous prime is 194264053. The next prime is 194264071. The reversal of 194264064 is 460462491.

194264064 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986014 + ... + 986210.

It is an arithmetic number, because the mean of its divisors is an integer number (4310982).

Almost surely, 2194264064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284524812).

194264064 is an abundant number, since it is smaller than the sum of its proper divisors (374785560).

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

194264064 is a wasteful number, since it uses less digits than its factorization.

194264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 194264064 is about 13937.8643988238. The cubic root of 194264064 is about 579.1585738002.

The spelling of 194264064 in words is "one hundred ninety-four million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 197 214 256 288 321 384 394 428 512 576 591 642 768 788 856 963 1024 1152 1182 1284 1536 1576 1712 1773 1926 2304 2364 2568 3072 3152 3424 3546 3852 4608 4728 5136 6304 6848 7092 7704 9216 9456 10272 12608 13696 14184 15408 18912 20544 21079 25216 27392 28368 30816 37824 41088 42158 50432 54784 56736 61632 63237 75648 82176 84316 100864 109568 113472 123264 126474 151296 164352 168632 189711 201728 226944 246528 252948 302592 328704 337264 379422 453888 493056 505896 605184 674528 758844 907776 986112 1011792 1349056 1517688 1815552 2023584 2698112 3035376 4047168 5396224 6070752 8094336 10792448 12141504 16188672 21584896 24283008 32377344 48566016 64754688 97132032 194264064