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2230100640 = 25335516227
BaseRepresentation
bin1000010011101100…
…1010001010100000
312202102022211222000
42010323022022200
514031401210030
61005142444000
7106156354065
oct20473121240
95672284860
102230100640
11a44919689
12522a33600
132970403a1
14172274c6c
15d0bb5860
hex84eca2a0

2230100640 has 96 divisors (see below), whose sum is σ = 7805367360. Its totient is φ = 594692352.

The previous prime is 2230100629. The next prime is 2230100687. The reversal of 2230100640 is 460010322.

It is a happy number.

2230100640 is a `hidden beast` number, since 2 + 23 + 0 + 1 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253794 + ... + 262433.

It is an arithmetic number, because the mean of its divisors is an integer number (81305910).

Almost surely, 22230100640 is an apocalyptic number.

2230100640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230100640 is an abundant number, since it is smaller than the sum of its proper divisors (5575266720).

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

2230100640 is a wasteful number, since it uses less digits than its factorization.

2230100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516251 (or 516237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2230100640 is about 47223.9413856997. The cubic root of 2230100640 is about 1306.4962096587.

Adding to 2230100640 its reverse (460010322), we get a palindrome (2690110962).

The spelling of 2230100640 in words is "two billion, two hundred thirty million, one hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 516227 1032454 1548681 2064908 2581135 3097362 4129816 4646043 5162270 6194724 7743405 8259632 9292086 10324540 12389448 13938129 15486810 16519264 18584172 20649080 23230215 24778896 27876258 30973620 37168344 41298160 46460430 49557792 55752516 61947240 69690645 74336688 82596320 92920860 111505032 123894480 139381290 148673376 185841720 223010064 247788960 278762580 371683440 446020128 557525160 743366880 1115050320 2230100640