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1354222400 = 2652846389
BaseRepresentation
bin101000010110111…
…1100101101000000
310111101012121220012
41100231330231000
510233140104100
6342213404052
745362462156
oct12055745500
93441177805
101354222400
11635472373
12319639628
1318774123b
14cbbd73d6
157dd51135
hex50b7cb40

1354222400 has 42 divisors (see below), whose sum is σ = 3332237430. Its totient is φ = 541688320.

The previous prime is 1354222393. The next prime is 1354222427. The reversal of 1354222400 is 42224531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 193321216 + 1160901184 = 13904^2 + 34072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421595 + ... + 424794.

Almost surely, 21354222400 is an apocalyptic number.

1354222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354222400 is an abundant number, since it is smaller than the sum of its proper divisors (1978015030).

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

1354222400 is an equidigital number, since it uses as much as digits as its factorization.

1354222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846411 (or 846396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1354222400 is about 36799.7608687883. The cubic root of 1354222400 is about 1106.3605062665.

Adding to 1354222400 its reverse (42224531), we get a palindrome (1396446931).

The spelling of 1354222400 in words is "one billion, three hundred fifty-four million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 846389 1692778 3385556 4231945 6771112 8463890 13542224 16927780 21159725 27084448 33855560 42319450 54168896 67711120 84638900 135422240 169277800 270844480 338555600 677111200 1354222400