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30212262528 = 273797115873
BaseRepresentation
bin11100001000110010…
…101000101010000000
32212222112200221211020
4130020302220222000
5443333314400103
621513533345440
72116454665020
oct341062505200
985875627736
1030212262528
11118a4042008
125a32038280
132b06353a26
1416686dda80
15bbc5a6753
hex708ca8a80

30212262528 has 128 divisors (see below), whose sum is σ = 92662120320. Its totient is φ = 8543010816.

The previous prime is 30212262527. The next prime is 30212262557. The reversal of 30212262528 is 82526221203.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (30212262527) 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, 202800 + ... + 318672.

It is an arithmetic number, because the mean of its divisors is an integer number (723922815).

Almost surely, 230212262528 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 30212262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46331060160).

30212262528 is an abundant number, since it is smaller than the sum of its proper divisors (62449857792).

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

30212262528 is a wasteful number, since it uses less digits than its factorization.

30212262528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115994 (or 115982 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 30212262528 in words is "thirty billion, two hundred twelve million, two hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 291 336 384 388 448 582 672 679 776 896 1164 1344 1358 1552 2037 2328 2688 2716 3104 4074 4656 5432 6208 8148 9312 10864 12416 16296 18624 21728 32592 37248 43456 65184 86912 115873 130368 231746 260736 347619 463492 695238 811111 926984 1390476 1622222 1853968 2433333 2780952 3244444 3707936 4866666 5561904 6488888 7415872 9733332 11123808 11239681 12977776 14831744 19466664 22247616 22479362 25955552 33719043 38933328 44495232 44958724 51911104 67438086 77866656 78677767 89917448 103822208 134876172 155733312 157355534 179834896 236033301 269752344 311466624 314711068 359669792 472066602 539504688 629422136 719339584 944133204 1079009376 1258844272 1438679168 1888266408 2158018752 2517688544 3776532816 4316037504 5035377088 7553065632 10070754176 15106131264 30212262528