Search a number
-
+
7974932220 = 22335174389227
BaseRepresentation
bin1110110110101011…
…11100111011111100
3202120210020112101000
413123111330323330
5112313040312340
63355202250300
7401424543153
oct73325747374
922523215330
107974932220
113422706682
121666956990
139a12a7108
1455922059a
1531a1e7d30
hex1db57cefc

7974932220 has 384 divisors, whose sum is σ = 27303091200. Its totient is φ = 1924521984.

The previous prime is 7974932201. The next prime is 7974932257. The reversal of 7974932220 is 222394797.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35131747 + ... + 35131973.

It is an arithmetic number, because the mean of its divisors is an integer number (71101800).

Almost surely, 27974932220 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 7974932220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

7974932220 is an abundant number, since it is smaller than the sum of its proper divisors (19328158980).

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

7974932220 is a wasteful number, since it uses less digits than its factorization.

7974932220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7974932220 is about 89302.4760015085. The cubic root of 7974932220 is about 1997.9088326048.

The spelling of 7974932220 in words is "seven billion, nine hundred seventy-four million, nine hundred thirty-two thousand, two hundred twenty".