Search a number
-
+
772803220 = 2257231072243
BaseRepresentation
bin101110000100000…
…000101010010100
31222212011110201111
4232010000222110
53040314200340
6204403504404
725102501420
oct5604005224
91885143644
10772803220
11367255552
12196988104
13c414cb17
14748c9b80
1547ca3aea
hex2e100a94

772803220 has 96 divisors (see below), whose sum is σ = 1954326528. Its totient is φ = 250960512.

The previous prime is 772803209. The next prime is 772803233. The reversal of 772803220 is 22308277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343419 + ... + 345661.

It is an arithmetic number, because the mean of its divisors is an integer number (20357568).

Almost surely, 2772803220 is an apocalyptic number.

772803220 is a gapful number since it is divisible by the number (70) 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 772803220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977163264).

772803220 is an abundant number, since it is smaller than the sum of its proper divisors (1181523308).

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

772803220 is a wasteful number, since it uses less digits than its factorization.

772803220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 772803220 is about 27799.3384813380. The cubic root of 772803220 is about 917.6765647024.

The spelling of 772803220 in words is "seven hundred seventy-two million, eight hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 107 115 140 161 214 230 322 428 460 535 644 749 805 1070 1498 1610 2140 2243 2461 2996 3220 3745 4486 4922 7490 8972 9844 11215 12305 14980 15701 17227 22430 24610 31402 34454 44860 49220 51589 62804 68908 78505 86135 103178 157010 172270 206356 240001 257945 314020 344540 361123 480002 515890 722246 960004 1031780 1200005 1444492 1680007 1805615 2400010 3360014 3611230 4800020 5520023 6720028 7222460 8400035 11040046 16800070 22080092 27600115 33600140 38640161 55200230 77280322 110400460 154560644 193200805 386401610 772803220