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1226354130 = 2325791371259
BaseRepresentation
bin100100100011000…
…1010110111010010
310011110121020121100
41021012022313102
510002421313010
6321405005230
742250560321
oct11106126722
93143536540
101226354130
1157a277011
122a2853816
131670c0b41
14b8c300b8
15729e42c0
hex4918add2

1226354130 has 96 divisors (see below), whose sum is σ = 3255033600. Its totient is φ = 320276736.

The previous prime is 1226354111. The next prime is 1226354167. The reversal of 1226354130 is 314536221.

1226354130 is a `hidden beast` number, since 1 + 22 + 635 + 4 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1226354094 and 1226354103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973441 + ... + 974699.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 21226354130 is an apocalyptic number.

1226354130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226354130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627516800).

1226354130 is an abundant number, since it is smaller than the sum of its proper divisors (2028679470).

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

1226354130 is a wasteful number, since it uses less digits than its factorization.

1226354130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1226354130 is about 35019.3393712674. The cubic root of 1226354130 is about 1070.3815944689.

The spelling of 1226354130 in words is "one billion, two hundred twenty-six million, three hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 137 158 237 274 395 411 474 685 711 790 822 1185 1233 1259 1370 1422 2055 2370 2466 2518 3555 3777 4110 6165 6295 7110 7554 10823 11331 12330 12590 18885 21646 22662 32469 37770 54115 56655 64938 97407 99461 108230 113310 162345 172483 194814 198922 298383 324690 344966 487035 497305 517449 596766 862415 895149 974070 994610 1034898 1491915 1552347 1724830 1790298 2587245 2983830 3104694 4475745 5174490 7761735 8951490 13626157 15523470 27252314 40878471 68130785 81756942 122635413 136261570 204392355 245270826 408784710 613177065 1226354130