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2194525464 = 2333129310067
BaseRepresentation
bin1000001011001101…
…1100110100011000
312122221101102222220
42002303130310120
513443244303324
61001432144040
7105245105265
oct20263346430
95587342886
102194525464
11a2683050a
12512b38020
1328c8658a1
1416b65426c
15cc9d9b79
hex82cdcd18

2194525464 has 64 divisors (see below), whose sum is σ = 5683184640. Its totient is φ = 705425280.

The previous prime is 2194525429. The next prime is 2194525477. The reversal of 2194525464 is 4645254912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212959 + ... + 223025.

It is an arithmetic number, because the mean of its divisors is an integer number (88799760).

Almost surely, 22194525464 is an apocalyptic number.

2194525464 is a gapful number since it is divisible by the number (24) 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 2194525464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841592320).

2194525464 is an abundant number, since it is smaller than the sum of its proper divisors (3488659176).

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

2194525464 is a wasteful number, since it uses less digits than its factorization.

2194525464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10396 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2194525464 is about 46845.7624977970. The cubic root of 2194525464 is about 1299.5117424801.

The spelling of 2194525464 in words is "two billion, one hundred ninety-four million, five hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 293 372 586 744 879 1172 1758 2344 3516 7032 9083 10067 18166 20134 27249 30201 36332 40268 54498 60402 72664 80536 108996 120804 217992 241608 312077 624154 936231 1248308 1872462 2496616 2949631 3744924 5899262 7489848 8848893 11798524 17697786 23597048 35395572 70791144 91438561 182877122 274315683 365754244 548631366 731508488 1097262732 2194525464