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109223136 = 253211231499
BaseRepresentation
bin1101000001010…
…01110011100000
321121112002222100
412200221303200
5210430120021
614501010400
72464244541
oct640516340
9247462870
10109223136
1156720a60
12306b3a00
1319822899
14107124c8
1598c7626
hex6829ce0

109223136 has 144 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 31637760.

The previous prime is 109223131. The next prime is 109223141. The reversal of 109223136 is 631322901.

It is an interprime number because it is at equal distance from previous prime (109223131) and next prime (109223141).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109223131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72115 + ... + 73613.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2109223136 is an apocalyptic number.

109223136 is a gapful number since it is divisible by the number (16) 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 109223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

109223136 is an abundant number, since it is smaller than the sum of its proper divisors (244584864).

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

109223136 is a wasteful number, since it uses less digits than its factorization.

109223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 109223136 is about 10450.9873217797. The cubic root of 109223136 is about 478.0113557406.

The spelling of 109223136 in words is "one hundred nine million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1499 1518 1584 1656 2024 2208 2277 2998 3036 3168 3312 4048 4497 4554 5996 6072 6624 8096 8994 9108 11992 12144 13491 16489 17988 18216 23984 24288 26982 32978 34477 35976 36432 47968 49467 53964 65956 68954 71952 72864 98934 103431 107928 131912 137908 143904 148401 197868 206862 215856 263824 275816 296802 310293 379247 395736 413724 431712 527648 551632 593604 620586 758494 791472 827448 1103264 1137741 1187208 1241172 1516988 1582944 1654896 2275482 2374416 2482344 3033976 3309792 3413223 4550964 4748832 4964688 6067952 6826446 9101928 9929376 12135904 13652892 18203856 27305784 36407712 54611568 109223136