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2274707952 = 2432118871619
BaseRepresentation
bin1000011110010101…
…0100100111110000
312212112021010200200
42013211110213300
514124311123302
61013414515200
7110240461416
oct20745244760
95775233620
102274707952
11a68016830
12535965b00
132a335b04a
141781672b6
15d4a7781c
hex879549f0

2274707952 has 120 divisors (see below), whose sum is σ = 6956876160. Its totient is φ = 688103040.

The previous prime is 2274707879. The next prime is 2274707957. The reversal of 2274707952 is 2597074722.

It is a junction number, because it is equal to n+sod(n) for n = 2274707898 and 2274707907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274707957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404199 + ... + 1405817.

It is an arithmetic number, because the mean of its divisors is an integer number (57973968).

Almost surely, 22274707952 is an apocalyptic number.

2274707952 is a gapful number since it is divisible by the number (22) 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 2274707952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478438080).

2274707952 is an abundant number, since it is smaller than the sum of its proper divisors (4682168208).

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

2274707952 is a wasteful number, since it uses less digits than its factorization.

2274707952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2274707952 is about 47693.8984776879. The cubic root of 2274707952 is about 1315.1497758628.

The spelling of 2274707952 in words is "two billion, two hundred seventy-four million, seven hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 887 1584 1619 1774 2661 3238 3548 4857 5322 6476 7096 7983 9714 9757 10644 12952 14192 14571 15966 17809 19428 19514 21288 25904 29142 29271 31932 35618 38856 39028 42576 53427 58284 58542 63864 71236 77712 78056 87813 106854 116568 117084 127728 142472 156112 160281 175626 213708 233136 234168 284944 320562 351252 427416 468336 641124 702504 854832 1282248 1405008 1436053 2564496 2872106 4308159 5744212 8616318 11488424 12924477 15796583 17232636 22976848 25848954 31593166 34465272 47389749 51697908 63186332 68930544 94779498 103395816 126372664 142169247 189558996 206791632 252745328 284338494 379117992 568676988 758235984 1137353976 2274707952