Search a number
-
+
2241000624 = 243187924847
BaseRepresentation
bin1000010110010010…
…1111010010110000
312210011211121221010
42011210233102300
514042144004444
61010212230520
7106351122342
oct20544572260
95704747833
102241000624
11a4aa93a35
1252660b440
13299388795
141738b1292
15d1b1a2b9
hex8592f4b0

2241000624 has 40 divisors (see below), whose sum is σ = 5792565760. Its totient is φ = 746572608.

The previous prime is 2241000623. The next prime is 2241000631. The reversal of 2241000624 is 4260001422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241000624.

It is not an unprimeable number, because it can be changed into a prime (2241000623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77769 + ... + 102615.

It is an arithmetic number, because the mean of its divisors is an integer number (144814144).

Almost surely, 22241000624 is an apocalyptic number.

2241000624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241000624 is an abundant number, since it is smaller than the sum of its proper divisors (3551565136).

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

2241000624 is a wasteful number, since it uses less digits than its factorization.

2241000624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26737 (or 26731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2241000624 is about 47339.2081049102. The cubic root of 2241000624 is about 1308.6213228970.

The spelling of 2241000624 in words is "two billion, two hundred forty-one million, six hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1879 3758 5637 7516 11274 15032 22548 24847 30064 45096 49694 74541 90192 99388 149082 198776 298164 397552 596328 1192656 46687513 93375026 140062539 186750052 280125078 373500104 560250156 747000208 1120500312 2241000624