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1145222640 = 243252516337
BaseRepresentation
bin100010001000010…
…1011010111110000
32221210221100010100
41010100223113300
54321134111030
6305350032400
740244142342
oct10420532760
92853840110
101145222640
115384a27a1
1227b648700
13153355743
14ac151292
156a81a360
hex4442b5f0

1145222640 has 120 divisors (see below), whose sum is σ = 3861971568. Its totient is φ = 304128000.

The previous prime is 1145222623. The next prime is 1145222641. The reversal of 1145222640 is 462225411.

1145222640 is a `hidden beast` number, since 1 + 14 + 5 + 2 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145222641) 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, 177552 + ... + 183888.

Almost surely, 21145222640 is an apocalyptic number.

1145222640 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 1145222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930985784).

1145222640 is an abundant number, since it is smaller than the sum of its proper divisors (2716748928).

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

1145222640 is a wasteful number, since it uses less digits than its factorization.

1145222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1145222640 is about 33841.1382787282. The cubic root of 1145222640 is about 1046.2367598090.

The spelling of 1145222640 in words is "one billion, one hundred forty-five million, two hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 251 360 502 720 753 1004 1255 1506 2008 2259 2510 3012 3765 4016 4518 5020 6024 6337 7530 9036 10040 11295 12048 12674 15060 18072 19011 20080 22590 25348 30120 31685 36144 38022 45180 50696 57033 60240 63370 76044 90360 95055 101392 114066 126740 152088 180720 190110 228132 253480 285165 304176 380220 456264 506960 570330 760440 912528 1140660 1520880 1590587 2281320 3181174 4562640 4771761 6362348 7952935 9543522 12724696 14315283 15905870 19087044 23858805 25449392 28630566 31811740 38174088 47717610 57261132 63623480 71576415 76348176 95435220 114522264 127246960 143152830 190870440 229044528 286305660 381740880 572611320 1145222640