Search a number
-
+
3730225932 = 22376532
BaseRepresentation
bin1101111001010110…
…1011101100001100
3100121222002010000000
43132111223230030
530114414212212
61414051404300
7161303253156
oct33625535414
910558063000
103730225932
111644684a54
128812b3690
13475a776a4
142755abad6
1516c7371dc
hexde56bb0c

3730225932 has 72 divisors (see below), whose sum is σ = 9805366480. Its totient is φ = 1241504496.

The previous prime is 3730225931. The next prime is 3730225943. The reversal of 3730225932 is 2395220373.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3730225932 is a `hidden beast` number, since 37 + 30 + 2 + 2 + 593 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3730225931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5712118 + ... + 5712770.

Almost surely, 23730225932 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 3730225932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902683240).

3730225932 is an abundant number, since it is smaller than the sum of its proper divisors (6075140548).

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

3730225932 is an frugal number, since it uses more digits than its factorization.

3730225932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3730225932 is about 61075.5755764938. The cubic root of 3730225932 is about 1550.8806555657.

The spelling of 3730225932 in words is "three billion, seven hundred thirty million, two hundred twenty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 653 729 972 1306 1458 1959 2187 2612 2916 3918 4374 5877 7836 8748 11754 17631 23508 35262 52893 70524 105786 158679 211572 317358 426409 476037 634716 852818 952074 1279227 1428111 1705636 1904148 2558454 2856222 3837681 5116908 5712444 7675362 11513043 15350724 23026086 34539129 46052172 69078258 103617387 138156516 207234774 310852161 414469548 621704322 932556483 1243408644 1865112966 3730225932