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1226831100 = 2235211233797
BaseRepresentation
bin100100100011111…
…1111010011111100
310011111111110212220
41021013333103330
510003032043400
6321423125340
742254615025
oct11107772374
93144443786
101226831100
1157a572400
122a2a43850
13167229c81
14b8d15c4c
1572a8a7a0
hex491ff4fc

1226831100 has 108 divisors (see below), whose sum is σ = 3901776312. Its totient is φ = 297404800.

The previous prime is 1226831041. The next prime is 1226831101. The reversal of 1226831100 is 11386221.

It is a super-2 number, since 2×12268311002 = 3010229095854420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226831101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19402 + ... + 53198.

Almost surely, 21226831100 is an apocalyptic number.

1226831100 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 1226831100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950888156).

1226831100 is an abundant number, since it is smaller than the sum of its proper divisors (2674945212).

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

1226831100 is a wasteful number, since it uses less digits than its factorization.

1226831100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33836 (or 33818 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1226831100 is about 35026.1488034297. The cubic root of 1226831100 is about 1070.5203455094.

The spelling of 1226831100 in words is "one billion, two hundred twenty-six million, eight hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 33797 36300 67594 101391 135188 168985 202782 337970 371767 405564 506955 675940 743534 844925 1013910 1115301 1487068 1689850 1858835 2027820 2230602 2534775 3379700 3717670 4089437 4461204 5069550 5576505 7435340 8178874 9294175 10139100 11153010 12268311 16357748 18588350 20447185 22306020 24536622 27882525 37176700 40894370 49073244 55765050 61341555 81788740 102235925 111530100 122683110 204471850 245366220 306707775 408943700 613415550 1226831100