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2287720944 = 243223977121
BaseRepresentation
bin1000100001011011…
…1101100111110000
312220102202021011100
42020112331213300
514141124032234
61015001444400
7110456210235
oct21026754760
95812667140
102287720944
11a743a4673
1253a1a0700
132a5c66142
14179b9378c
15d5c98399
hex885bd9f0

2287720944 has 120 divisors (see below), whose sum is σ = 6750630432. Its totient is φ = 721797120.

The previous prime is 2287720943. The next prime is 2287720951. The reversal of 2287720944 is 4490277822.

2287720944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22877209442 = 10467334235232502272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2287720944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287720943) 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, 317704 + ... + 324824.

Almost surely, 22287720944 is an apocalyptic number.

2287720944 is a gapful number since it is divisible by the number (24) 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 2287720944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375315216).

2287720944 is an abundant number, since it is smaller than the sum of its proper divisors (4462909488).

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

2287720944 is a wasteful number, since it uses less digits than its factorization.

2287720944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2287720944 is about 47830.1259040785. The cubic root of 2287720944 is about 1317.6528813562.

The spelling of 2287720944 in words is "two billion, two hundred eighty-seven million, seven hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 194 207 276 291 368 388 414 552 582 776 828 873 1104 1164 1552 1656 1746 2231 2328 3312 3492 4462 4656 6693 6984 7121 8924 13386 13968 14242 17848 20079 21363 26772 28484 35696 40158 42726 53544 56968 64089 80316 85452 107088 113936 128178 160632 163783 170904 256356 321264 327566 341808 491349 512712 655132 690737 982698 1025424 1310264 1381474 1474047 1965396 2072211 2620528 2762948 2948094 3930792 4144422 5525896 5896188 6216633 7861584 8288844 11051792 11792376 12433266 15886951 16577688 23584752 24866532 31773902 33155376 47660853 49733064 63547804 95321706 99466128 127095608 142982559 190643412 254191216 285965118 381286824 571930236 762573648 1143860472 2287720944