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242232852288 = 2637180232777
BaseRepresentation
bin1110000110011000110…
…0111111111101000000
3212011020121211212111210
43201212030333331000
512432043102233123
6303140310410120
723333520162150
oct3414614777500
9764217755453
10242232852288
1193804148209
123ab43360940
1319ac4b663bb
14ba1d03c760
15647aeb6e93
hex386633ff40

242232852288 has 56 divisors (see below), whose sum is σ = 732466009792. Its totient is φ = 69209385984.

The previous prime is 242232852283. The next prime is 242232852299. The reversal of 242232852288 is 882258232242.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242232852283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90115045 + ... + 90117732.

Almost surely, 2242232852288 is an apocalyptic number.

242232852288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242232852288 is an abundant number, since it is smaller than the sum of its proper divisors (490233157504).

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

242232852288 is a wasteful number, since it uses less digits than its factorization.

242232852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180232799 (or 180232789 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 48.

The spelling of 242232852288 in words is "two hundred forty-two billion, two hundred thirty-two million, eight hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 180232777 360465554 540698331 720931108 1081396662 1261629439 1441862216 2162793324 2523258878 2883724432 3784888317 4325586648 5046517756 5767448864 7569776634 8651173296 10093035512 11534897728 15139553268 17302346592 20186071024 30279106536 34604693184 40372142048 60558213072 80744284096 121116426144 242232852288