Search a number
-
+
2137303476 = 2233711432139
BaseRepresentation
bin111111101100100…
…1010100110110100
312111221201021012000
41333121022212310
513334122202401
6552025455300
7103651531320
oct17731124664
95457637160
102137303476
119a74a7810
124b7941530
13280a4c219
14163bda980
15c7985186
hex7f64a9b4

2137303476 has 288 divisors, whose sum is σ = 7123737600. Its totient is φ = 538332480.

The previous prime is 2137303471. The next prime is 2137303481. The reversal of 2137303476 is 6743037312.

It is an interprime number because it is at equal distance from previous prime (2137303471) and next prime (2137303481).

It is a super-2 number, since 2×21373034762 = 9136132297043365152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2137303476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137303471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15376215 + ... + 15376353.

It is an arithmetic number, because the mean of its divisors is an integer number (24735200).

Almost surely, 22137303476 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 2137303476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561868800).

2137303476 is an abundant number, since it is smaller than the sum of its proper divisors (4986434124).

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

2137303476 is a wasteful number, since it uses less digits than its factorization.

2137303476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 2137303476 is about 46230.9796132420. The cubic root of 2137303476 is about 1288.1172534807.

The spelling of 2137303476 in words is "two billion, one hundred thirty-seven million, three hundred three thousand, four hundred seventy-six".