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1226055456 = 253231891543
BaseRepresentation
bin100100100010100…
…0001111100100000
310011110001001220100
41021011001330200
510002332233311
6321354342400
742245204463
oct11105017440
93143031810
101226055456
1157a09267a
122a272aa00
13167017c02
14b8b932da
1572985a56
hex49141f20

1226055456 has 144 divisors (see below), whose sum is σ = 3641863680. Its totient is φ = 390804480.

The previous prime is 1226055449. The next prime is 1226055491. The reversal of 1226055456 is 6545506221.

1226055456 is a `hidden beast` number, since 1 + 2 + 2 + 605 + 5 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1226055456.

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 23 ways as a sum of consecutive naturals, for example, 793821 + ... + 795363.

It is an arithmetic number, because the mean of its divisors is an integer number (25290720).

Almost surely, 21226055456 is an apocalyptic number.

1226055456 is a gapful number since it is divisible by the number (16) 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 1226055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820931840).

1226055456 is an abundant number, since it is smaller than the sum of its proper divisors (2415808224).

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

1226055456 is a wasteful number, since it uses less digits than its factorization.

1226055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1226055456 is about 35015.0746964789. The cubic root of 1226055456 is about 1070.2946915911.

The spelling of 1226055456 in words is "one billion, two hundred twenty-six million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 89 93 96 124 144 178 186 248 267 279 288 356 372 496 534 558 712 744 801 992 1068 1116 1424 1488 1543 1602 2136 2232 2759 2848 2976 3086 3204 4272 4464 4629 5518 6172 6408 8277 8544 8928 9258 11036 12344 12816 13887 16554 18516 22072 24688 24831 25632 27774 33108 37032 44144 47833 49376 49662 55548 66216 74064 88288 95666 99324 111096 132432 137327 143499 148128 191332 198648 222192 264864 274654 286998 382664 397296 411981 430497 444384 549308 573996 765328 794592 823962 860994 1098616 1147992 1235943 1530656 1647924 1721988 2197232 2295984 2471886 3295848 3443976 4257137 4394464 4591968 4943772 6591696 6887952 8514274 9887544 12771411 13183392 13775904 17028548 19775088 25542822 34057096 38314233 39550176 51085644 68114192 76628466 102171288 136228384 153256932 204342576 306513864 408685152 613027728 1226055456