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4225225224 = 23311831511277
BaseRepresentation
bin1111101111010111…
…1101001000001000
3101220110111200101010
43323311331020020
532123124201344
61535133123520
7206463551613
oct37365751010
911813450333
104225225224
111879036280
1299b0295a0
1352449b58c
142c122117a
1519ae138b9
hexfbd7d208

4225225224 has 128 divisors (see below), whose sum is σ = 11748602880. Its totient is φ = 1255584000.

The previous prime is 4225225211. The next prime is 4225225247.

4225225224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4225225191 and 4225225200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308074 + ... + 3309350.

It is an arithmetic number, because the mean of its divisors is an integer number (91785960).

Almost surely, 24225225224 is an apocalyptic number.

4225225224 is a gapful number since it is divisible by the number (44) 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 4225225224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874301440).

4225225224 is an abundant number, since it is smaller than the sum of its proper divisors (7523377656).

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

4225225224 is a wasteful number, since it uses less digits than its factorization.

4225225224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 4225225224 is about 65001.7324692196. The cubic root of 4225225224 is about 1616.6522880973.

It can be divided in two parts, 42252 and 25224, that added together give a palindrome (67476).

The spelling of 4225225224 in words is "four billion, two hundred twenty-five million, two hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 151 166 249 264 302 332 453 498 604 664 906 913 996 1208 1277 1661 1812 1826 1992 2554 2739 3322 3624 3652 3831 4983 5108 5478 6644 7304 7662 9966 10216 10956 12533 13288 14047 15324 19932 21912 25066 28094 30648 37599 39864 42141 50132 56188 75198 84282 100264 105991 112376 137863 150396 168564 192827 211982 275726 300792 317973 337128 385654 413589 423964 551452 578481 635946 771308 827178 847928 1102904 1156962 1165901 1271892 1542616 1654356 2121097 2313924 2331802 2543784 3308712 3497703 4242194 4627848 4663604 6363291 6995406 8484388 9327208 12726582 13990812 16004641 16968776 25453164 27981624 32009282 48013923 50906328 64018564 96027846 128037128 176051051 192055692 352102102 384111384 528153153 704204204 1056306306 1408408408 2112612612 4225225224