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228435957784992 = 25331103745236839
BaseRepresentation
bin110011111100001011100100…
…000111100010000110100000
31002221211021010122222002000210
4303330023210013202012200
5214420143320143104432
62125502010312014120
766054644662362246
oct6374134407420640
91087737118862023
10228435957784992
1166872166946aa1
1221754504091340
139a60559275149
14405a5060ac796
151b622244578cc
hexcfc2e41e21a0

228435957784992 has 96 divisors (see below), whose sum is σ = 624997347287040. Its totient is φ = 72973591176960.

The previous prime is 228435957784981. The next prime is 228435957784997. The reversal of 228435957784992 is 299487759534822.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (228435957784997) 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, 372311892 + ... + 372924947.

It is an arithmetic number, because the mean of its divisors is an integer number (6510389034240).

Almost surely, 2228435957784992 is an apocalyptic number.

It is an amenable number.

228435957784992 is an abundant number, since it is smaller than the sum of its proper divisors (396561389502048).

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

228435957784992 is a wasteful number, since it uses less digits than its factorization.

228435957784992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745236986 (or 745236978 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 84.

The spelling of 228435957784992 in words is "two hundred twenty-eight trillion, four hundred thirty-five billion, nine hundred fifty-seven million, seven hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 103 124 186 206 248 309 372 412 496 618 744 824 992 1236 1488 1648 2472 2976 3193 3296 4944 6386 9579 9888 12772 19158 25544 38316 51088 76632 102176 153264 306528 745236839 1490473678 2235710517 2980947356 4471421034 5961894712 8942842068 11923789424 17885684136 23102342009 23847578848 35771368272 46204684018 69307026027 71542736544 76759394417 92409368036 138614052054 153518788834 184818736072 230278183251 277228104108 307037577668 369637472144 460556366502 554456208216 614075155336 739274944288 921112733004 1108912416432 1228150310672 1842225466008 2217824832864 2379541226927 2456300621344 3684450932016 4759082453854 7138623680781 7368901864032 9518164907708 14277247361562 19036329815416 28554494723124 38072659630832 57108989446248 76145319261664 114217978892496 228435957784992