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114922416 = 24372111621
BaseRepresentation
bin1101101100110…
…01001110110000
322000020122220210
412312121032300
5213410004131
615223104120
72563552530
oct666311660
9260218823
10114922416
1159963a04
12325a2040
131aa69a3b
14113974c0
15a151146
hex6d993b0

114922416 has 80 divisors (see below), whose sum is σ = 341113088. Its totient is φ = 32659200.

The previous prime is 114922411. The next prime is 114922439. The reversal of 114922416 is 614229411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114922411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70086 + ... + 71706.

Almost surely, 2114922416 is an apocalyptic number.

114922416 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 114922416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170556544).

114922416 is an abundant number, since it is smaller than the sum of its proper divisors (226190672).

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

114922416 is a wasteful number, since it uses less digits than its factorization.

114922416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 114922416 is about 10720.1873117964. The cubic root of 114922416 is about 486.1850300561.

The spelling of 114922416 in words is "one hundred fourteen million, nine hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 844 1266 1477 1621 1688 2532 2954 3242 3376 4431 4863 5064 5908 6484 8862 9726 10128 11347 11816 12968 17724 19452 22694 23632 25936 34041 35448 38904 45388 68082 70896 77808 90776 136164 181552 272328 342031 544656 684062 1026093 1368124 2052186 2394217 2736248 4104372 4788434 5472496 7182651 8208744 9576868 14365302 16417488 19153736 28730604 38307472 57461208 114922416