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988228512 = 2535167761
BaseRepresentation
bin111010111001110…
…010101110100000
32112212112012200000
4322321302232200
54010441303022
6242021100000
733326542455
oct7271625640
92485465600
10988228512
11467913787
12236b57600
131299781cb
149536582c
155bb586ac
hex3ae72ba0

988228512 has 144 divisors (see below), whose sum is σ = 2935662912. Its totient is φ = 327006720.

The previous prime is 988228463. The next prime is 988228519. The reversal of 988228512 is 215822889.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988228519) 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, 1298212 + ... + 1298972.

It is an arithmetic number, because the mean of its divisors is an integer number (20386548).

Almost surely, 2988228512 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 988228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467831456).

988228512 is an abundant number, since it is smaller than the sum of its proper divisors (1947434400).

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

988228512 is a wasteful number, since it uses less digits than its factorization.

988228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 988228512 is about 31436.1020484411. The cubic root of 988228512 is about 996.0606727447.

The spelling of 988228512 in words is "nine hundred eighty-eight million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 167 216 243 288 324 334 432 486 501 648 668 761 864 972 1002 1296 1336 1503 1522 1944 2004 2283 2592 2672 3006 3044 3888 4008 4509 4566 5344 6012 6088 6849 7776 8016 9018 9132 12024 12176 13527 13698 16032 18036 18264 20547 24048 24352 27054 27396 36072 36528 40581 41094 48096 54108 54792 61641 72144 73056 81162 82188 108216 109584 123282 127087 144288 162324 164376 184923 216432 219168 246564 254174 324648 328752 369846 381261 432864 493128 508348 649296 657504 739692 762522 986256 1016696 1143783 1298592 1479384 1525044 1972512 2033392 2287566 2958768 3050088 3431349 4066784 4575132 5917536 6100176 6862698 9150264 10294047 12200352 13725396 18300528 20588094 27450792 30882141 36601056 41176188 54901584 61764282 82352376 109803168 123528564 164704752 247057128 329409504 494114256 988228512