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22033376136 = 2333893972887
BaseRepresentation
bin10100100001010010…
…101010001110001000
32002212112200110221000
4110201102222032020
5330111021014021
614042203415000
71410002415132
oct244122521610
962775613830
1022033376136
1193872a2672
12432ab24460
132101a39895
1410d038c052
1588e522b26
hex5214aa388

22033376136 has 128 divisors (see below), whose sum is σ = 62068896000. Its totient is φ = 7241135616.

The previous prime is 22033376089. The next prime is 22033376147. The reversal of 22033376136 is 63167333022.

22033376136 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 37 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22033376136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7630485 + ... + 7633371.

It is an arithmetic number, because the mean of its divisors is an integer number (484913250).

Almost surely, 222033376136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033376136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31034448000).

22033376136 is an abundant number, since it is smaller than the sum of its proper divisors (40035519864).

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

22033376136 is a wasteful number, since it uses less digits than its factorization.

22033376136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 22033376136 in words is "twenty-two billion, thirty-three million, three hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 397 534 712 794 801 1068 1191 1588 1602 2136 2382 2403 2887 3176 3204 3573 4764 4806 5774 6408 7146 8661 9528 9612 10719 11548 14292 17322 19224 21438 23096 25983 28584 34644 35333 42876 51966 69288 70666 77949 85752 103932 105999 141332 155898 207864 211998 256943 282664 311796 317997 423996 513886 623592 635994 770829 847992 953991 1027772 1146139 1271988 1541658 1907982 2055544 2292278 2312487 2543976 3083316 3438417 3815964 4584556 4624974 6166632 6876834 6937461 7631928 9169112 9249948 10315251 13753668 13874922 18499896 20630502 27507336 27749844 30945753 41261004 55499688 61891506 82522008 102006371 123783012 204012742 247566024 306019113 408025484 612038226 816050968 918057339 1224076452 1836114678 2448152904 2754172017 3672229356 5508344034 7344458712 11016688068 22033376136