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242259696 = 243271491613
BaseRepresentation
bin11100111000010…
…01011011110000
3121212212001211100
432130021123300
5444004302241
640012244400
76001113330
oct1634113360
9555761740
10242259696
11114827328
1269170700
133b262543
14242630c0
15164059b6
hexe7096f0

242259696 has 120 divisors (see below), whose sum is σ = 780530400. Its totient is φ = 68709888.

The previous prime is 242259679. The next prime is 242259737. The reversal of 242259696 is 696952242.

242259696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149386 + ... + 150998.

It is an arithmetic number, because the mean of its divisors is an integer number (6504420).

Almost surely, 2242259696 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 242259696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390265200).

242259696 is an abundant number, since it is smaller than the sum of its proper divisors (538270704).

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

242259696 is a wasteful number, since it uses less digits than its factorization.

242259696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1774 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 242259696 is about 15564.6938935528. The cubic root of 242259696 is about 623.3908009078.

The spelling of 242259696 in words is "two hundred forty-two million, two hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1613 1788 2086 2384 2682 3129 3226 3576 4172 4839 5364 6258 6452 7152 8344 9387 9678 10728 11291 12516 12904 14517 16688 18774 19356 21456 22582 25032 25808 29034 33873 37548 38712 45164 50064 58068 67746 75096 77424 90328 101619 116136 135492 150192 180656 203238 232272 240337 270984 406476 480674 541968 721011 812952 961348 1442022 1625904 1682359 1922696 2163033 2884044 3364718 3845392 4326066 5047077 5768088 6729436 8652132 10094154 11536176 13458872 15141231 17304264 20188308 26917744 30282462 34608528 40376616 60564924 80753232 121129848 242259696