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2225361400 = 235229383683
BaseRepresentation
bin1000010010100100…
…0101000111111000
312202002102001221121
42010221011013320
514024143031100
61004453115024
7106101155053
oct20451050770
95662361847
102225361400
11a42181a59
12521328a74
132960711c2
1417179da9a
15d057b51a
hex84a451f8

2225361400 has 48 divisors (see below), whose sum is σ = 5352391800. Its totient is φ = 859447680.

The previous prime is 2225361289. The next prime is 2225361401. The reversal of 2225361400 is 41635222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225361401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186042 + ... + 197641.

Almost surely, 22225361400 is an apocalyptic number.

2225361400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225361400 is an abundant number, since it is smaller than the sum of its proper divisors (3127030400).

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

2225361400 is a wasteful number, since it uses less digits than its factorization.

2225361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383728 (or 383719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2225361400 is about 47173.7363370764. The cubic root of 2225361400 is about 1305.5700645505.

Adding to 2225361400 its reverse (41635222), we get a palindrome (2266996622).

The spelling of 2225361400 in words is "two billion, two hundred twenty-five million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 383683 767366 1534732 1918415 3069464 3836830 7673660 9592075 11126807 15347320 19184150 22253614 38368300 44507228 55634035 76736600 89014456 111268070 222536140 278170175 445072280 556340350 1112680700 2225361400