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2272478112 = 253319913217
BaseRepresentation
bin1000011101110011…
…0100001110100000
312212101001211221000
42013130310032200
514123223244422
61013255032000
7110212513422
oct20734641640
95771054830
102272478112
11a66833493
1253506b600
132a2a5a108
14177b46812
15d4786cac
hex877343a0

2272478112 has 96 divisors (see below), whose sum is σ = 6661872000. Its totient is φ = 753629184.

The previous prime is 2272478069. The next prime is 2272478141. The reversal of 2272478112 is 2118742722.

2272478112 is a `hidden beast` number, since 2 + 2 + 72 + 478 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165328 + ... + 178544.

It is an arithmetic number, because the mean of its divisors is an integer number (69394500).

Almost surely, 22272478112 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 2272478112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330936000).

2272478112 is an abundant number, since it is smaller than the sum of its proper divisors (4389393888).

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

2272478112 is a wasteful number, since it uses less digits than its factorization.

2272478112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13435 (or 13421 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2272478112 is about 47670.5161708996. The cubic root of 2272478112 is about 1314.7198990899.

The spelling of 2272478112 in words is "two billion, two hundred seventy-two million, four hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 1194 1592 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 13217 14328 19104 21492 26434 28656 39651 42984 52868 57312 79302 85968 105736 118953 158604 171936 211472 237906 317208 356859 422944 475812 634416 713718 951624 1268832 1427436 1903248 2630183 2854872 3806496 5260366 5709744 7890549 10520732 11419488 15781098 21041464 23671647 31562196 42082928 47343294 63124392 71014941 84165856 94686588 126248784 142029882 189373176 252497568 284059764 378746352 568119528 757492704 1136239056 2272478112