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972228608 = 211132532
BaseRepresentation
bin111001111100110…
…000100000000000
32111202102022220222
4321330300200000
53442342303413
6240250122212
733043543511
oct7174604000
92452368828
10972228608
1145988581a
12231720368
13126565700
149319ca08
155a547b08
hex39f30800

972228608 has 108 divisors (see below), whose sum is σ = 2145489255. Its totient is φ = 440254464.

The previous prime is 972228563. The next prime is 972228617. The reversal of 972228608 is 806822279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 331531264 + 640697344 = 18208^2 + 25312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18343910 + ... + 18343962.

Almost surely, 2972228608 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 972228608

972228608 is an abundant number, since it is smaller than the sum of its proper divisors (1173260647).

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

972228608 is an equidigital number, since it uses as much as digits as its factorization.

972228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 972228608 is about 31180.5806232020. The cubic root of 972228608 is about 990.6558277357.

The spelling of 972228608 in words is "nine hundred seventy-two million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 169 208 212 256 338 416 424 512 676 689 832 848 1024 1352 1378 1664 1696 2048 2704 2756 2809 3328 3392 5408 5512 5618 6656 6784 8957 10816 11024 11236 13312 13568 17914 21632 22048 22472 26624 27136 35828 36517 43264 44096 44944 54272 71656 73034 86528 88192 89888 108544 143312 146068 173056 176384 179776 286624 292136 346112 352768 359552 474721 573248 584272 705536 719104 949442 1146496 1168544 1411072 1438208 1898884 2292992 2337088 2876416 3797768 4585984 4674176 5752832 7595536 9171968 9348352 15191072 18343936 18696704 30382144 37393408 60764288 74786816 121528576 243057152 486114304 972228608