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109218456 = 2334315437
BaseRepresentation
bin1101000001010…
…00101010011000
321121111212120000
412200220222120
5210424442311
614500533000
72464225104
oct640505230
9247455500
10109218456
1156718496
12306b1160
1319820709
1410710904
1598c6056
hex6828a98

109218456 has 80 divisors (see below), whose sum is σ = 315839040. Its totient is φ = 35225280.

The previous prime is 109218449. The next prime is 109218469. The reversal of 109218456 is 654812901.

It is a super-2 number, since 2×1092184562 = 23857342262047872, which contains 22 as substring.

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 109218456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17370 + ... + 22806.

It is an arithmetic number, because the mean of its divisors is an integer number (3947988).

Almost surely, 2109218456 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 109218456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157919520).

109218456 is an abundant number, since it is smaller than the sum of its proper divisors (206620584).

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

109218456 is a wasteful number, since it uses less digits than its factorization.

109218456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 109218456 is about 10450.7634170906. The cubic root of 109218456 is about 478.0045283559.

The spelling of 109218456 in words is "one hundred nine million, two hundred eighteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 5437 6696 10044 10874 16311 20088 21748 32622 43496 48933 65244 97866 130488 146799 168547 195732 293598 337094 391464 440397 505641 587196 674188 880794 1011282 1174392 1348376 1516923 1761588 2022564 3033846 3523176 4045128 4550769 6067692 9101538 12135384 13652307 18203076 27304614 36406152 54609228 109218456