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242174460 = 2235111312801
BaseRepresentation
bin11100110111101…
…00100111111100
3121212200201220110
432123310213330
5443444040320
640010350020
76000306663
oct1633644774
9555621813
10242174460
11114779290
126912b310
133b2327c8
142423ddda
15163da5e0
hexe6f49fc

242174460 has 96 divisors (see below), whose sum is σ = 745645824. Its totient is φ = 58240000.

The previous prime is 242174431. The next prime is 242174461. The reversal of 242174460 is 64471242.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242174461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85060 + ... + 87860.

It is an arithmetic number, because the mean of its divisors is an integer number (7767144).

Almost surely, 2242174460 is an apocalyptic number.

242174460 is a gapful number since it is divisible by the number (20) 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 242174460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372822912).

242174460 is an abundant number, since it is smaller than the sum of its proper divisors (503471364).

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

242174460 is a wasteful number, since it uses less digits than its factorization.

242174460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242174460 is about 15561.9555326443. The cubic root of 242174460 is about 623.3176816174.

The spelling of 242174460 in words is "two hundred forty-two million, one hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 786 1310 1441 1572 1965 2620 2801 2882 3930 4323 5602 5764 7205 7860 8403 8646 11204 14005 14410 16806 17292 21615 28010 28820 30811 33612 42015 43230 56020 61622 84030 86460 92433 123244 154055 168060 184866 308110 366931 369732 462165 616220 733862 924330 1100793 1467724 1834655 1848660 2201586 3669310 4036241 4403172 5503965 7338620 8072482 11007930 12108723 16144964 20181205 22015860 24217446 40362410 48434892 60543615 80724820 121087230 242174460