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2274460664 = 237198632477
BaseRepresentation
bin1000011110010001…
…1000001111111000
312212111210120110212
42013210120033320
514124230220124
61013405330252
7110235411440
oct20744301770
95774716425
102274460664
11a67967a63
12535866988
132a32a2618
14178101120
15d4a2940e
hex879183f8

2274460664 has 64 divisors (see below), whose sum is σ = 5138380800. Its totient is φ = 922022784.

The previous prime is 2274460649. The next prime is 2274460667. The reversal of 2274460664 is 4660644722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274460667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916994 + ... + 919470.

It is an arithmetic number, because the mean of its divisors is an integer number (80287200).

Almost surely, 22274460664 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 2274460664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569190400).

2274460664 is an abundant number, since it is smaller than the sum of its proper divisors (2863920136).

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

2274460664 is a wasteful number, since it uses less digits than its factorization.

2274460664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The square root of 2274460664 is about 47691.3059582142. The cubic root of 2274460664 is about 1315.1021166247.

The spelling of 2274460664 in words is "two billion, two hundred seventy-four million, four hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 863 1064 1726 2477 3452 4954 6041 6904 9908 12082 16397 17339 19816 24164 32794 34678 47063 48328 65588 69356 94126 114779 131176 138712 188252 229558 329441 376504 459116 658882 918232 1317764 2137651 2635528 4275302 8550604 14963557 17101208 29927114 40615369 59854228 81230738 119708456 162461476 284307583 324922952 568615166 1137230332 2274460664