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1226126352 = 243116138069
BaseRepresentation
bin100100100010101…
…0011010000010000
310011110011200011010
41021011103100100
510002342020402
6321400050520
742245621253
oct11105232020
93143150133
101226126352
1157a130970
122a2763a40
13167041269
14b8bb109a
157299ba6c
hex49153410

1226126352 has 80 divisors (see below), whose sum is σ = 3512185920. Its totient is φ = 365452800.

The previous prime is 1226126339. The next prime is 1226126371. The reversal of 1226126352 is 2536216221.

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, 13174 + ... + 51242.

It is an arithmetic number, because the mean of its divisors is an integer number (43902324).

Almost surely, 21226126352 is an apocalyptic number.

1226126352 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 1226126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756092960).

1226126352 is an abundant number, since it is smaller than the sum of its proper divisors (2286059568).

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

1226126352 is a wasteful number, since it uses less digits than its factorization.

1226126352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38152 (or 38146 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1226126352 is about 35016.0870458137. The cubic root of 1226126352 is about 1070.3153209326.

The spelling of 1226126352 in words is "one billion, two hundred twenty-six million, one hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 5368 8052 10736 16104 32208 38069 76138 114207 152276 228414 304552 418759 456828 609104 837518 913656 1256277 1675036 1827312 2322209 2512554 3350072 4644418 5025108 6700144 6966627 9288836 10050216 13933254 18577672 20100432 25544299 27866508 37155344 51088598 55733016 76632897 102177196 111466032 153265794 204354392 306531588 408708784 613063176 1226126352