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1226252640 = 25352699497
BaseRepresentation
bin100100100010111…
…0010000101100000
310011110102002101110
41021011302011200
510002410041030
6321402503320
742246655404
oct11105620540
93143362343
101226252640
1157a207838
122a2804b40
131670868a2
14b8c05104
15729c41b0
hex49172160

1226252640 has 96 divisors (see below), whose sum is σ = 3877463520. Its totient is φ = 325750784.

The previous prime is 1226252639. The next prime is 1226252663. The reversal of 1226252640 is 462526221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1226252598 and 1226252607.

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, 124372 + ... + 133868.

It is an arithmetic number, because the mean of its divisors is an integer number (40390245).

Almost surely, 21226252640 is an apocalyptic number.

1226252640 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 1226252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938731760).

1226252640 is an abundant number, since it is smaller than the sum of its proper divisors (2651210880).

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

1226252640 is a wasteful number, since it uses less digits than its factorization.

1226252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1226252640 is about 35017.8902848244. The cubic root of 1226252640 is about 1070.3520662866.

Adding to 1226252640 its reverse (462526221), we get a palindrome (1688778861).

The spelling of 1226252640 in words is "one billion, two hundred twenty-six million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 9497 10760 12912 16140 18994 21520 25824 28491 32280 37988 43040 47485 56982 64560 75976 94970 113964 129120 142455 151952 189940 227928 284910 303904 379880 455856 569820 759760 911712 1139640 1519520 2279280 2554693 4558560 5109386 7664079 10218772 12773465 15328158 20437544 25546930 30656316 38320395 40875088 51093860 61312632 76640790 81750176 102187720 122625264 153281580 204375440 245250528 306563160 408750880 613126320 1226252640