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242214915060 = 223351797272011
BaseRepresentation
bin1110000110010100100…
…0100100101111110100
3212011012101002120021000
43201211020210233310
512432024004240220
6303134430123300
723333211544056
oct3414510445764
9764171076230
10242214915060
11937a5006758
123ab39350530
1319ac1225b61
14ba1a8cd8d6
156479622390
hex3865224bf4

242214915060 has 192 divisors, whose sum is σ = 806113002240. Its totient is φ = 60164259840.

The previous prime is 242214915017. The next prime is 242214915119. The reversal of 242214915060 is 60519412242.

It is a happy number.

242214915060 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 149 + 1 + 506 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754455 + ... + 1026465.

It is an arithmetic number, because the mean of its divisors is an integer number (4198505220).

Almost surely, 2242214915060 is an apocalyptic number.

242214915060 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 242214915060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403056501120).

242214915060 is an abundant number, since it is smaller than the sum of its proper divisors (563898087180).

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

242214915060 is a wasteful number, since it uses less digits than its factorization.

242214915060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272143 (or 272135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 242214915060 in words is "two hundred forty-two billion, two hundred fourteen million, nine hundred fifteen thousand, sixty".