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1226111952 = 243131925443
BaseRepresentation
bin100100100010100…
…1111101111010000
310011110010221101210
41021011033233100
510002341040302
6321355500120
742245531262
oct11105175720
93143127353
101226111952
1157a12106a
122a2757640
13167037840
14b8ba9b32
157299766c
hex4914fbd0

1226111952 has 120 divisors (see below), whose sum is σ = 3600748704. Its totient is φ = 357343488.

The previous prime is 1226111951. The next prime is 1226111977. The reversal of 1226111952 is 2591116221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226111951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222543 + ... + 227985.

Almost surely, 21226111952 is an apocalyptic number.

1226111952 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 1226111952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800374352).

1226111952 is an abundant number, since it is smaller than the sum of its proper divisors (2374636752).

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

1226111952 is a wasteful number, since it uses less digits than its factorization.

1226111952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5480 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 1226111952 is about 35015.8814254332. The cubic root of 1226111952 is about 1070.3111308802.

The spelling of 1226111952 in words is "one billion, two hundred twenty-six million, one hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 361 456 494 624 722 741 912 988 1083 1444 1482 1976 2166 2888 2964 3952 4332 4693 5443 5776 5928 8664 9386 10886 11856 14079 16329 17328 18772 21772 28158 32658 37544 43544 56316 65316 70759 75088 87088 103417 112632 130632 141518 206834 212277 225264 261264 283036 310251 413668 424554 566072 620502 827336 849108 1132144 1241004 1344421 1654672 1698216 1964923 2482008 2688842 3396432 3929846 4033263 4964016 5377684 5894769 7859692 8066526 10755368 11789538 15719384 16133052 21510736 23579076 25543999 31438768 32266104 47158152 51087998 64532208 76631997 94316304 102175996 153263994 204351992 306527988 408703984 613055976 1226111952