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4222213000 = 235343149659
BaseRepresentation
bin1111101110101001…
…1101101110001000
3101220020211122101021
43323222131232020
532121341304000
61534544402224
7206426134615
oct37352355610
911806748337
104222213000
111877369135
1299a016374
135239854b5
142c0a7950c
1519aa1b11a
hexfba9db88

4222213000 has 128 divisors (see below), whose sum is σ = 10193040000. Its totient is φ = 1636051200.

The previous prime is 4222212983. The next prime is 4222213013. The reversal of 4222213000 is 3122224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6406671 + ... + 6407329.

It is an arithmetic number, because the mean of its divisors is an integer number (79633125).

Almost surely, 24222213000 is an apocalyptic number.

4222213000 is a gapful number since it is divisible by the number (40) 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 4222213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096520000).

4222213000 is an abundant number, since it is smaller than the sum of its proper divisors (5970827000).

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

4222213000 is a wasteful number, since it uses less digits than its factorization.

4222213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4222213000 is about 64978.5580018517. The cubic root of 4222213000 is about 1616.2680185217.

Adding to 4222213000 its reverse (3122224), we get a palindrome (4225335224).

The spelling of 4222213000 in words is "four billion, two hundred twenty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 149 172 200 215 250 298 344 430 500 596 659 745 860 1000 1075 1192 1318 1490 1720 2150 2636 2980 3295 3725 4300 5272 5375 5960 6407 6590 7450 8600 10750 12814 13180 14900 16475 18625 21500 25628 26360 28337 29800 32035 32950 37250 43000 51256 56674 64070 65900 74500 82375 98191 113348 128140 131800 141685 149000 160175 164750 196382 226696 256280 283370 320350 329500 392764 490955 566740 640700 659000 708425 785528 800875 981910 1133480 1281400 1416850 1601750 1963820 2454775 2833700 3203500 3542125 3927640 4222213 4909550 5667400 6407000 7084250 8444426 9819100 12273875 14168500 16888852 19638200 21111065 24547750 28337000 33777704 42222130 49095500 84444260 98191000 105555325 168888520 211110650 422221300 527776625 844442600 1055553250 2111106500 4222213000