Search a number
-
+
78225356 = 221119137683
BaseRepresentation
bin1001010100110…
…01111111001100
312110012021000102
410222121333030
5130011202411
611432350232
71636622156
oct452317714
9173167012
1078225356
1140179960
1222245378
131328b6c1
14a563ad6
156d02d3b
hex4a99fcc

78225356 has 48 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 33390720.

The previous prime is 78225353. The next prime is 78225361. The reversal of 78225356 is 65352287.

It is a super-2 number, since 2×782253562 = 12238412642653472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (78225353) 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, 114191 + ... + 114873.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 278225356 is an apocalyptic number.

78225356 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

78225356 is an abundant number, since it is smaller than the sum of its proper divisors (80353204).

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

78225356 is a wasteful number, since it uses less digits than its factorization.

78225356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 78225356 is about 8844.5099355476. The cubic root of 78225356 is about 427.6769551162.

The spelling of 78225356 in words is "seventy-eight million, two hundred twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 11 19 22 38 44 76 137 209 274 418 548 683 836 1366 1507 2603 2732 3014 5206 6028 7513 10412 12977 15026 25954 28633 30052 51908 57266 93571 114532 142747 187142 285494 374284 570988 1029281 1777849 2058562 3555698 4117124 7111396 19556339 39112678 78225356