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2274379488 = 253256913879
BaseRepresentation
bin1000011110010000…
…0100011011100000
312212111122110010100
42013210010123200
514124220120423
61013403502400
7110234622663
oct20744043340
95774573110
102274379488
11a67911a77
12535827a00
132a32746a4
141780bd6da
15d4a10343
hex879046e0

2274379488 has 72 divisors (see below), whose sum is σ = 6479600400. Its totient is φ = 756739584.

The previous prime is 2274379451. The next prime is 2274379501. The reversal of 2274379488 is 8849734722.

It is a happy number.

2274379488 is a `hidden beast` number, since 22 + 74 + 3 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156933 + ... + 170811.

It is an arithmetic number, because the mean of its divisors is an integer number (89994450).

Almost surely, 22274379488 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 2274379488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239800200).

2274379488 is an abundant number, since it is smaller than the sum of its proper divisors (4205220912).

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

2274379488 is a wasteful number, since it uses less digits than its factorization.

2274379488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14464 (or 14453 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 2274379488 is about 47690.4548940351. The cubic root of 2274379488 is about 1315.0864710109.

The spelling of 2274379488 in words is "two billion, two hundred seventy-four million, three hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 13879 18208 20484 27312 27758 40968 41637 54624 55516 81936 83274 111032 124911 163872 166548 222064 249822 333096 444128 499644 666192 999288 1332384 1998576 3997152 7897151 15794302 23691453 31588604 47382906 63177208 71074359 94765812 126354416 142148718 189531624 252708832 284297436 379063248 568594872 758126496 1137189744 2274379488