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741299220 = 223259742457
BaseRepresentation
bin101100001011110…
…101010000010100
31220122212220100200
4230023311100110
53004233033340
6201320340500
724240640134
oct5413652024
91818786320
10741299220
11350498092
12188314730
13ba76c3bc
1470648ac4
154512e330
hex2c2f5414

741299220 has 72 divisors (see below), whose sum is σ = 2271842664. Its totient is φ = 195637248.

The previous prime is 741299213. The next prime is 741299227. The reversal of 741299220 is 22992147.

It is an interprime number because it is at equal distance from previous prime (741299213) and next prime (741299227).

It can be written as a sum of positive squares in 4 ways, for example, as 201015684 + 540283536 = 14178^2 + 23244^2 .

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 (741299227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3769 + ... + 38688.

Almost surely, 2741299220 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 741299220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135921332).

741299220 is an abundant number, since it is smaller than the sum of its proper divisors (1530543444).

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

741299220 is a wasteful number, since it uses less digits than its factorization.

741299220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42569 (or 42564 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 741299220 is about 27226.8106835891. The cubic root of 741299220 is about 905.0332069661.

The spelling of 741299220 in words is "seven hundred forty-one million, two hundred ninety-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 42457 84914 127371 169828 212285 254742 382113 424570 509484 636855 764226 849140 1273710 1528452 1910565 2547420 3821130 4118329 7642260 8236658 12354987 16473316 20591645 24709974 37064961 41183290 49419948 61774935 74129922 82366580 123549870 148259844 185324805 247099740 370649610 741299220