Search a number
-
+
295194420 = 2232523113631
BaseRepresentation
bin10001100110000…
…100111100110100
3202120110102121200
4101212010330310
51101032210140
645143012500
710213053063
oct2146047464
9676412550
10295194420
111416a1a34
1282a3a130
1349207671
142b2c21da
151adb0030
hex11984f34

295194420 has 144 divisors (see below), whose sum is σ = 944116992. Its totient is φ = 74511360.

The previous prime is 295194373. The next prime is 295194503. The reversal of 295194420 is 24491592.

295194420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467505 + ... + 468135.

It is an arithmetic number, because the mean of its divisors is an integer number (6556368).

Almost surely, 2295194420 is an apocalyptic number.

295194420 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 295194420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472058496).

295194420 is an abundant number, since it is smaller than the sum of its proper divisors (648922572).

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

295194420 is a wasteful number, since it uses less digits than its factorization.

295194420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 295194420 is about 17181.2228901205. Note that the first 3 decimals coincide. The cubic root of 295194420 is about 665.8392328994.

The spelling of 295194420 in words is "two hundred ninety-five million, one hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 113 115 138 180 207 226 230 276 339 345 414 452 460 565 631 678 690 828 1017 1035 1130 1262 1356 1380 1695 1893 2034 2070 2260 2524 2599 3155 3390 3786 4068 4140 5085 5198 5679 6310 6780 7572 7797 9465 10170 10396 11358 12620 12995 14513 15594 18930 20340 22716 23391 25990 28395 29026 31188 37860 38985 43539 46782 51980 56790 58052 71303 72565 77970 87078 93564 113580 116955 130617 142606 145130 155940 174156 213909 217695 233910 261234 285212 290260 356515 427818 435390 467820 522468 641727 653085 713030 855636 870780 1069545 1283454 1306170 1426060 1639969 2139090 2566908 2612340 3208635 3279938 4278180 4919907 6417270 6559876 8199845 9839814 12834540 14759721 16399690 19679628 24599535 29519442 32799380 49199070 59038884 73798605 98398140 147597210 295194420