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2474900020 = 225297358453
BaseRepresentation
bin1001001110000011…
…1111101000110100
320101110221221120201
42103200333220310
520032033300040
61045325410244
7115221205645
oct22340775064
96343857521
102474900020
11106002001a
12590a09984
133059818a8
141969996cc
15e741da9a
hex9383fa34

2474900020 has 48 divisors (see below), whose sum is σ = 5450250960. Its totient is φ = 942713856.

The previous prime is 2474899969. The next prime is 2474900023. The reversal of 2474900020 is 200094742.

2474900020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 282038436 + 2192861584 = 16794^2 + 46828^2 .

It is a super-2 number, since 2×24749000202 = 12250260217992000800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474900023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13114 + ... + 71566.

It is an arithmetic number, because the mean of its divisors is an integer number (113546895).

Almost surely, 22474900020 is an apocalyptic number.

2474900020 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 2474900020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725125480).

2474900020 is an abundant number, since it is smaller than the sum of its proper divisors (2975350940).

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

2474900020 is a wasteful number, since it uses less digits than its factorization.

2474900020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58564 (or 58562 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2474900020 is about 49748.3670083753. The cubic root of 2474900020 is about 1352.6514001233.

Adding to 2474900020 its reverse (200094742), we get a palindrome (2674994762).

The spelling of 2474900020 in words is "two billion, four hundred seventy-four million, nine hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2117 4234 8468 10585 21170 42340 58453 116906 233812 292265 584530 1169060 1695137 3390274 4267069 6780548 8475685 8534138 16951370 17068276 21335345 33902740 42670690 85341380 123745001 247490002 494980004 618725005 1237450010 2474900020