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1225326080 = 2951153821
BaseRepresentation
bin100100100001000…
…1111111000000000
310011101200000101102
41021002033320000
510002140413310
6321330553532
742236046146
oct11102177000
93141600342
101225326080
11579734690
122a24388a8
13166b20c24
14b8a43596
157288e8a5
hex4908fe00

1225326080 has 160 divisors (see below), whose sum is σ = 3269442528. Its totient is φ = 436633600.

The previous prime is 1225326061. The next prime is 1225326107. The reversal of 1225326080 is 806235221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1492070 + ... + 1492890.

Almost surely, 21225326080 is an apocalyptic number.

1225326080 is a gapful number since it is divisible by the number (10) 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 1225326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634721264).

1225326080 is an abundant number, since it is smaller than the sum of its proper divisors (2044116448).

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

1225326080 is an equidigital number, since it uses as much as digits as its factorization.

1225326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1225326080 is about 35004.6579757609. The cubic root of 1225326080 is about 1070.0824113309.

The spelling of 1225326080 in words is "one billion, two hundred twenty-five million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 256 265 320 352 424 440 512 530 583 640 704 821 848 880 1060 1166 1280 1408 1642 1696 1760 2120 2332 2560 2816 2915 3284 3392 3520 4105 4240 4664 5632 5830 6568 6784 7040 8210 8480 9031 9328 11660 13136 13568 14080 16420 16960 18062 18656 23320 26272 27136 28160 32840 33920 36124 37312 43513 45155 46640 52544 65680 67840 72248 74624 87026 90310 93280 105088 131360 135680 144496 149248 174052 180620 186560 210176 217565 262720 288992 298496 348104 361240 373120 420352 435130 478643 525440 577984 696208 722480 746240 870260 957286 1050880 1155968 1392416 1444960 1492480 1740520 1914572 2101760 2311936 2393215 2784832 2889920 3481040 3829144 4623872 4786430 5569664 5779840 6962080 7658288 9572860 11139328 11559680 13924160 15316576 19145720 22278656 23119360 27848320 30633152 38291440 55696640 61266304 76582880 111393280 122532608 153165760 245065216 306331520 612663040 1225326080