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55222400 = 275217257
BaseRepresentation
bin1101001010101…
…0000010000000
310211220120220002
43102222002000
5103114104100
65251335132
71240245152
oct322520200
9124816802
1055222400
1129198452
12165b14a8
13b59649c
147496ad2
154cac2d5
hex34aa080

55222400 has 48 divisors (see below), whose sum is σ = 136424490. Its totient is φ = 22087680.

The previous prime is 55222399. The next prime is 55222403. The reversal of 55222400 is 422255.

It can be written as a sum of positive squares in 3 ways, for example, as 24840256 + 30382144 = 4984^2 + 5512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (55222403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5429 + ... + 11828.

Almost surely, 255222400 is an apocalyptic number.

55222400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55222400 is an abundant number, since it is smaller than the sum of its proper divisors (81202090).

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

55222400 is a wasteful number, since it uses less digits than its factorization.

55222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17281 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 55222400 is about 7431.1775648278. The cubic root of 55222400 is about 380.8071486077.

Adding to 55222400 its reverse (422255), we get a palindrome (55644655).

The spelling of 55222400 in words is "fifty-five million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 17257 34514 69028 86285 138056 172570 276112 345140 431425 552224 690280 862850 1104448 1380560 1725700 2208896 2761120 3451400 5522240 6902800 11044480 13805600 27611200 55222400