Search a number
-
+
741488220 = 22325111812069
BaseRepresentation
bin101100001100100…
…011011001011100
31220200020111121200
4230030203121130
53004310110340
6201324355500
724242355144
oct5414433134
91820214550
10741488220
11350607090
121883a5b90
13ba807435
1470697924
154516a330
hex2c32365c

741488220 has 144 divisors (see below), whose sum is σ = 2468400480. Its totient is φ = 178675200.

The previous prime is 741488171. The next prime is 741488221. The reversal of 741488220 is 22884147.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741488221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357346 + ... + 359414.

It is an arithmetic number, because the mean of its divisors is an integer number (17141670).

Almost surely, 2741488220 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 741488220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234200240).

741488220 is an abundant number, since it is smaller than the sum of its proper divisors (1726912260).

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

741488220 is a wasteful number, since it uses less digits than its factorization.

741488220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 741488220 is about 27230.2813059285. The cubic root of 741488220 is about 905.1101155146.

The spelling of 741488220 in words is "seven hundred forty-one million, four hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 181 198 220 330 362 396 495 543 660 724 905 990 1086 1629 1810 1980 1991 2069 2172 2715 3258 3620 3982 4138 5430 5973 6207 6516 7964 8145 8276 9955 10345 10860 11946 12414 16290 17919 18621 19910 20690 22759 23892 24828 29865 31035 32580 35838 37242 39820 41380 45518 59730 62070 68277 71676 74484 89595 91036 93105 113795 119460 124140 136554 179190 186210 204831 227590 273108 341385 358380 372420 374489 409662 455180 682770 748978 819324 1024155 1123467 1365540 1497956 1872445 2048310 2246934 3370401 3744890 4096620 4119379 4493868 5617335 6740802 7489780 8238758 11234670 12358137 13481604 16477516 16852005 20596895 22469340 24716274 33704010 37074411 41193790 49432548 61790685 67408020 74148822 82387580 123581370 148297644 185372055 247162740 370744110 741488220