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1223385072 = 2437131914741
BaseRepresentation
bin100100011101011…
…0101111111110000
310011021000101211020
41020322311333300
510001141310242
6321221215440
742213413220
oct11072657760
93137011736
101223385072
11578629348
122a1861580
131665c15c0
14b869a080
15726096ec
hex48eb5ff0

1223385072 has 160 divisors (see below), whose sum is σ = 4094737920. Its totient is φ = 305648640.

The previous prime is 1223385071. The next prime is 1223385077. The reversal of 1223385072 is 2705833221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223385071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75622 + ... + 90362.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 21223385072 is an apocalyptic number.

1223385072 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 1223385072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1223385072 is an abundant number, since it is smaller than the sum of its proper divisors (2871352848).

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

1223385072 is a wasteful number, since it uses less digits than its factorization.

1223385072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1223385072 is about 34976.9219915075. The cubic root of 1223385072 is about 1069.5170825723.

The spelling of 1223385072 in words is "one billion, two hundred twenty-three million, three hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 14741 20748 27664 29482 41496 44223 58964 82992 88446 103187 117928 176892 191633 206374 235856 280079 309561 353784 383266 412748 560158 574899 619122 707568 766532 825496 840237 1120316 1149798 1238244 1341431 1533064 1650992 1680474 1960553 2240632 2299596 2476488 2682862 3066128 3360948 3641027 3921106 4024293 4481264 4599192 4952976 5365724 5881659 6721896 7282054 7842212 8048586 9198384 10731448 10923081 11763318 13443792 14564108 15684424 16097172 21462896 21846162 23526636 25487189 29128216 31368848 32194344 43692324 47053272 50974378 58256432 64388688 76461567 87384648 94106544 101948756 152923134 174769296 203897512 305846268 407795024 611692536 1223385072