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1226855808 = 2734241491
BaseRepresentation
bin100100100100000…
…0101010110000000
310011111112201210000
41021020011112000
510003033341213
6321423440000
742255050043
oct11110052600
93144481700
101226855808
1157a589a22
122a2a56000
131672382a9
14b8d20c5a
1572a92c73
hex49205580

1226855808 has 160 divisors (see below), whose sum is σ = 3673719720. Its totient is φ = 406425600.

The previous prime is 1226855807. The next prime is 1226855809. The reversal of 1226855808 is 8085586221.

1226855808 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 5 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1226855807) and next prime (1226855809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226855801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2498443 + ... + 2498933.

Almost surely, 21226855808 is an apocalyptic number.

1226855808 is a gapful number since it is divisible by the number (18) 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 1226855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836859860).

1226855808 is an abundant number, since it is smaller than the sum of its proper divisors (2446863912).

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

1226855808 is an equidigital number, since it uses as much as digits as its factorization.

1226855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 1226855808 is about 35026.5015095713. The cubic root of 1226855808 is about 1070.5275321111.

The spelling of 1226855808 in words is "one billion, two hundred twenty-six million, eight hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 241 288 324 384 432 482 491 576 648 723 864 964 982 1152 1296 1446 1473 1728 1928 1964 2169 2592 2892 2946 3456 3856 3928 4338 4419 5184 5784 5892 6507 7712 7856 8676 8838 10368 11568 11784 13014 13257 15424 15712 17352 17676 19521 23136 23568 26028 26514 30848 31424 34704 35352 39042 39771 46272 47136 52056 53028 62848 69408 70704 78084 79542 92544 94272 104112 106056 118331 138816 141408 156168 159084 188544 208224 212112 236662 277632 282816 312336 318168 354993 416448 424224 473324 565632 624672 636336 709986 832896 848448 946648 1064979 1249344 1272672 1419972 1696896 1893296 2129958 2498688 2545344 2839944 3194937 3786592 4259916 5090688 5679888 6389874 7573184 8519832 9584811 11359776 12779748 15146368 17039664 19169622 22719552 25559496 34079328 38339244 45439104 51118992 68158656 76678488 102237984 136317312 153356976 204475968 306713952 408951936 613427904 1226855808