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1226113632 = 25332296197
BaseRepresentation
bin100100100010101…
…0000001001100000
310011110011000201000
41021011100021200
510002341114012
6321355512000
742245536212
oct11105201140
93143130630
101226113632
1157a122357
122a2758600
13167038533
14b8baa5b2
1572997ddc
hex49150260

1226113632 has 96 divisors (see below), whose sum is σ = 3592360800. Its totient is φ = 406854144.

The previous prime is 1226113597. The next prime is 1226113667. The reversal of 1226113632 is 2363116221.

1226113632 is a `hidden beast` number, since 1 + 2 + 26 + 1 + 1 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1226113597) and next prime (1226113667).

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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1226113596 and 1226113605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194758 + ... + 200954.

It is an arithmetic number, because the mean of its divisors is an integer number (37420425).

Almost surely, 21226113632 is an apocalyptic number.

1226113632 is a gapful number since it is divisible by the number (12) 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 1226113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796180400).

1226113632 is an abundant number, since it is smaller than the sum of its proper divisors (2366247168).

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

1226113632 is a wasteful number, since it uses less digits than its factorization.

1226113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6431 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1226113632 is about 35015.9054145398. The cubic root of 1226113632 is about 1070.3116197213.

Adding to 1226113632 its reverse (2363116221), we get a palindrome (3589229853).

The spelling of 1226113632 in words is "one billion, two hundred twenty-six million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2748 3664 4122 5496 6183 6197 7328 8244 10992 12366 12394 16488 18591 21984 24732 24788 32976 37182 49464 49576 55773 65952 74364 98928 99152 111546 148728 167319 197856 198304 223092 297456 334638 446184 594912 669276 892368 1338552 1419113 1784736 2677104 2838226 4257339 5354208 5676452 8514678 11352904 12772017 17029356 22705808 25544034 34058712 38316051 45411616 51088068 68117424 76632102 102176136 136234848 153264204 204352272 306528408 408704544 613056816 1226113632