Search a number
-
+
2235969540 = 22325717472221
BaseRepresentation
bin1000010101000110…
…0011000000000100
312202211101000120200
42011101203000010
514034402011130
61005512330500
7106260266430
oct20521430004
95684330520
102235969540
11a48168012
125249a3a30
132983167cc
14172d619c0
15d1474760
hex85463004

2235969540 has 288 divisors, whose sum is σ = 8385721344. Its totient is φ = 470568960.

The previous prime is 2235969539. The next prime is 2235969553. The reversal of 2235969540 is 459695322.

2235969540 is a `hidden beast` number, since 2 + 2 + 3 + 596 + 9 + 54 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005630 + ... + 1007850.

It is an arithmetic number, because the mean of its divisors is an integer number (29117088).

Almost surely, 22235969540 is an apocalyptic number.

2235969540 is a gapful number since it is divisible by the number (20) 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 2235969540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192860672).

2235969540 is an abundant number, since it is smaller than the sum of its proper divisors (6149751804).

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

2235969540 is a wasteful number, since it uses less digits than its factorization.

2235969540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2235969540 is about 47286.0395888681. The cubic root of 2235969540 is about 1307.6412968639.

The spelling of 2235969540 in words is "two billion, two hundred thirty-five million, nine hundred sixty-nine thousand, five hundred forty".