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730225098240 = 29351148717749
BaseRepresentation
bin10101010000001001100…
…11101011111000000000
32120210211122100110211220
422220010303223320000
543431000111120430
61315243310035040
7103520441631321
oct12500463537000
92523748313756
10730225098240
11261761038330
12b9632aa8a80
1353b24366161
14274b35c6448
1513edc847110
hexaa04cebe00

730225098240 has 320 divisors, whose sum is σ = 2552033088000. Its totient is φ = 176650813440.

The previous prime is 730225098217. The next prime is 730225098277. The reversal of 730225098240 is 42890522037.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 730225098192 and 730225098201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41132886 + ... + 41150634.

It is an arithmetic number, because the mean of its divisors is an integer number (7975103400).

Almost surely, 2730225098240 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 730225098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276016544000).

730225098240 is an abundant number, since it is smaller than the sum of its proper divisors (1821807989760).

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

730225098240 is a wasteful number, since it uses less digits than its factorization.

730225098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18273 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 730225098240 in words is "seven hundred thirty billion, two hundred twenty-five million, ninety-eight thousand, two hundred forty".