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1226293056 = 26322239547
BaseRepresentation
bin100100100010111…
…1011111101000000
310011110111010211100
41021011323331000
510002412334211
6321403414400
742250214262
oct11105737500
93143433740
101226293056
1157a23513a
122a2824400
1316709c0c1
14b8c15b32
15729d1156
hex4917bf40

1226293056 has 84 divisors (see below), whose sum is σ = 3531079552. Its totient is φ = 406888704.

The previous prime is 1226293039. The next prime is 1226293069. The reversal of 1226293056 is 6503926221.

1226293056 is a `hidden beast` number, since 1 + 22 + 629 + 3 + 0 + 5 + 6 = 666.

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 1226293056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123675 + ... + 133221.

Almost surely, 21226293056 is an apocalyptic number.

1226293056 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 1226293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765539776).

1226293056 is an abundant number, since it is smaller than the sum of its proper divisors (2304786496).

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

1226293056 is a wasteful number, since it uses less digits than its factorization.

1226293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1226293056 is about 35018.4673565249. The cubic root of 1226293056 is about 1070.3638253844.

The spelling of 1226293056 in words is "one billion, two hundred twenty-six million, two hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 9547 10704 14272 16056 19094 21408 28641 32112 38188 42816 57282 64224 76376 85923 114564 128448 152752 171846 229128 305504 343692 458256 611008 687384 916512 1374768 1833024 2128981 2749536 4257962 5499072 6386943 8515924 12773886 17031848 19160829 25547772 34063696 38321658 51095544 68127392 76643316 102191088 136254784 153286632 204382176 306573264 408764352 613146528 1226293056