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914442240 = 21135172103
BaseRepresentation
bin110110100000010…
…100100000000000
32100201200110221010
4312200110200000
53333044122430
6230423400520
731442426235
oct6640244000
92321613833
10914442240
1142a1a6a98
122162b3140
131175b21aa
148963978c
1555430cb0
hex36814800

914442240 has 288 divisors, whose sum is σ = 3137883840. Its totient is φ = 227278848.

The previous prime is 914442233. The next prime is 914442253. The reversal of 914442240 is 42244419.

It is a super-2 number, since 2×9144422402 = 1672409220592435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 914442198 and 914442207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8878029 + ... + 8878131.

It is an arithmetic number, because the mean of its divisors is an integer number (10895430).

Almost surely, 2914442240 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 914442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568941920).

914442240 is an abundant number, since it is smaller than the sum of its proper divisors (2223441600).

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

914442240 is a wasteful number, since it uses less digits than its factorization.

914442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 914442240 is about 30239.7460306796. The cubic root of 914442240 is about 970.6263853724.

Adding to 914442240 its reverse (42244419), we get a palindrome (956686659).

The spelling of 914442240 in words is "nine hundred fourteen million, four hundred forty-two thousand, two hundred forty".