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1450055200 = 255211414019
BaseRepresentation
bin101011001101110…
…0001011000100000
310202001112102210011
41112123201120200
510432203231300
6355515414304
750635160116
oct12633413040
93661472704
101450055200
11684577a30
12345754394
131a1556039
14da821ab6
1587480eba
hex566e1620

1450055200 has 144 divisors (see below), whose sum is σ = 3956934240. Its totient is φ = 514304000.

The previous prime is 1450055179. The next prime is 1450055203. The reversal of 1450055200 is 25500541.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1450055203) 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 23 ways as a sum of consecutive naturals, for example, 358791 + ... + 362809.

It is an arithmetic number, because the mean of its divisors is an integer number (27478710).

Almost surely, 21450055200 is an apocalyptic number.

1450055200 is a gapful number since it is divisible by the number (10) 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 1450055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978467120).

1450055200 is an abundant number, since it is smaller than the sum of its proper divisors (2506879040).

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

1450055200 is a wasteful number, since it uses less digits than its factorization.

1450055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 1450055200 is about 38079.5903339309. The cubic root of 1450055200 is about 1131.8655585821.

Adding to 1450055200 its reverse (25500541), we get a palindrome (1475555741).

The spelling of 1450055200 in words is "one billion, four hundred fifty million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 160 164 176 200 205 220 275 328 352 400 410 440 451 550 656 800 820 880 902 1025 1100 1312 1640 1760 1804 2050 2200 2255 3280 3608 4019 4100 4400 4510 6560 7216 8038 8200 8800 9020 11275 14432 16076 16400 18040 20095 22550 32152 32800 36080 40190 44209 45100 64304 72160 80380 88418 90200 100475 128608 160760 164779 176836 180400 200950 221045 321520 329558 353672 360800 401900 442090 643040 659116 707344 803800 823895 884180 1105225 1318232 1414688 1607600 1647790 1768360 1812569 2210450 2636464 3215200 3295580 3536720 3625138 4119475 4420900 5272928 6591160 7073440 7250276 8238950 8841800 9062845 13182320 14500552 16477900 17683600 18125690 26364640 29001104 32955800 35367200 36251380 45314225 58002208 65911600 72502760 90628450 131823200 145005520 181256900 290011040 362513800 725027600 1450055200