Search a number
-
+
738222080 = 213567269
BaseRepresentation
bin101100000000000…
…110000000000000
31220110002120022112
4230000012000000
53002441101310
6201130354452
724202532651
oct5400060000
91813076275
10738222080
113497861a2
1218728ba28
13b9c328cb
1470087528
1544c22705
hex2c006000

738222080 has 112 divisors (see below), whose sum is σ = 1804751280. Its totient is φ = 289800192.

The previous prime is 738222077. The next prime is 738222217. The reversal of 738222080 is 80222837.

738222080 is digitally balanced in base 6, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744186 + ... + 2744454.

Almost surely, 2738222080 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 738222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902375640).

738222080 is an abundant number, since it is smaller than the sum of its proper divisors (1066529200).

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

738222080 is an equidigital number, since it uses as much as digits as its factorization.

738222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 738222080 is about 27170.2425458442. The cubic root of 738222080 is about 903.7792031309.

The spelling of 738222080 in words is "seven hundred thirty-eight million, two hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 269 320 335 512 536 538 640 670 1024 1072 1076 1280 1340 1345 2048 2144 2152 2560 2680 2690 4096 4288 4304 5120 5360 5380 8192 8576 8608 10240 10720 10760 17152 17216 18023 20480 21440 21520 34304 34432 36046 40960 42880 43040 68608 68864 72092 85760 86080 90115 137216 137728 144184 171520 172160 180230 274432 275456 288368 343040 344320 360460 548864 550912 576736 686080 688640 720920 1101824 1153472 1372160 1377280 1441840 2203648 2306944 2744320 2754560 2883680 4613888 5509120 5767360 9227776 11018240 11534720 18455552 23069440 36911104 46138880 73822208 92277760 147644416 184555520 369111040 738222080