Search a number
-
+
2530733200 = 245241154313
BaseRepresentation
bin1001011011010111…
…1110110010010000
320112101000120022021
42112311332302100
520140331430300
61055042221224
7116466606622
oct22665766220
96471016267
102530733200
111089595346
125a7654814
13314400088
141a0170c12
15ec29bd1a
hex96d7ec90

2530733200 has 60 divisors (see below), whose sum is σ = 6228421668. Its totient is φ = 987596800.

The previous prime is 2530733173. The next prime is 2530733213. The reversal of 2530733200 is 23370352.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 958769296 + 1571963904 = 30964^2 + 39648^2 .

It is a super-2 number, since 2×25307332002 = 12809221059164480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60757 + ... + 93556.

Almost surely, 22530733200 is an apocalyptic number.

2530733200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530733200 is an abundant number, since it is smaller than the sum of its proper divisors (3697688468).

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

2530733200 is a wasteful number, since it uses less digits than its factorization.

2530733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154372 (or 154361 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 2530733200 is about 50306.3932318746. The cubic root of 2530733200 is about 1362.7476888868.

The spelling of 2530733200 in words is "two billion, five hundred thirty million, seven hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 154313 308626 617252 771565 1234504 1543130 2469008 3086260 3857825 6172520 6326833 7715650 12345040 12653666 15431300 25307332 30862600 31634165 50614664 61725200 63268330 101229328 126536660 158170825 253073320 316341650 506146640 632683300 1265366600 2530733200