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2254002312 = 233314773883
BaseRepresentation
bin1000011001011001…
…0101100010001000
312211002022011220010
42012112111202020
514104011033222
61011355031520
7106566463212
oct20626254210
95732264803
102254002312
11a57364331
1252aa3b5a0
1329bc8b6a3
141754d75b2
15d2d3780c
hex86595888

2254002312 has 128 divisors (see below), whose sum is σ = 6028738560. Its totient is φ = 701084160.

The previous prime is 2254002301. The next prime is 2254002329. The reversal of 2254002312 is 2132004522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2552223 + ... + 2553105.

It is an arithmetic number, because the mean of its divisors is an integer number (47099520).

Almost surely, 22254002312 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 2254002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014369280).

2254002312 is an abundant number, since it is smaller than the sum of its proper divisors (3774736248).

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

2254002312 is a wasteful number, since it uses less digits than its factorization.

2254002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2254002312 is about 47476.3342308565. The cubic root of 2254002312 is about 1311.1472016644.

Adding to 2254002312 its reverse (2132004522), we get a palindrome (4386006834).

The spelling of 2254002312 in words is "two billion, two hundred fifty-four million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 73 93 94 124 141 146 186 188 219 248 282 292 372 376 438 564 584 744 876 883 1128 1457 1752 1766 2263 2649 2914 3431 3532 4371 4526 5298 5828 6789 6862 7064 8742 9052 10293 10596 11656 13578 13724 17484 18104 20586 21192 27156 27373 27448 34968 41172 41501 54312 54746 64459 82119 82344 83002 106361 109492 124503 128918 164238 166004 193377 212722 218984 249006 257836 319083 328476 332008 386754 425444 498012 515672 638166 656952 773508 850888 996024 1276332 1286531 1547016 1998229 2552664 2573062 3029573 3859593 3996458 5146124 5994687 6059146 7719186 7992916 9088719 10292248 11989374 12118292 15438372 15985832 18177438 23978748 24236584 30876744 36354876 47957496 72709752 93916763 187833526 281750289 375667052 563500578 751334104 1127001156 2254002312