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4224325120 = 29541167241
BaseRepresentation
bin1111101111001010…
…0001011000000000
3101220101210221122221
43323302201120000
532122411400440
61535101540424
7206453112451
oct37362413000
911811727587
104224325120
111878580a94
1299a874714
13524244982
142c1069128
1519acd6d4a
hexfbca1600

4224325120 has 160 divisors (see below), whose sum is σ = 10480954176. Its totient is φ = 1631846400.

The previous prime is 4224325099. The next prime is 4224325139. The reversal of 4224325120 is 215234224.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 17528200 + ... + 17528440.

Almost surely, 24224325120 is an apocalyptic number.

4224325120 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 4224325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240477088).

4224325120 is an abundant number, since it is smaller than the sum of its proper divisors (6256629056).

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

4224325120 is a wasteful number, since it uses less digits than its factorization.

4224325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4224325120 is about 64994.8084080567. The cubic root of 4224325120 is about 1616.5374809208.

Adding to 4224325120 its reverse (215234224), we get a palindrome (4439559344).

The spelling of 4224325120 in words is "four billion, two hundred twenty-four million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 167 205 241 256 320 328 334 410 482 512 640 656 668 820 835 964 1205 1280 1312 1336 1640 1670 1928 2410 2560 2624 2672 3280 3340 3856 4820 5248 5344 6560 6680 6847 7712 9640 9881 10496 10688 13120 13360 13694 15424 19280 19762 20992 21376 26240 26720 27388 30848 34235 38560 39524 40247 42752 49405 52480 53440 54776 61696 68470 77120 79048 80494 85504 98810 104960 106880 109552 123392 136940 154240 158096 160988 197620 201235 213760 219104 273880 308480 316192 321976 395240 402470 427520 438208 547760 616960 632384 643952 790480 804940 876416 1095520 1264768 1287904 1580960 1609880 1650127 1752832 2191040 2529536 2575808 3161920 3219760 3300254 3505664 4382080 5059072 5151616 6323840 6439520 6600508 8250635 8764160 10303232 12647680 12879040 13201016 16501270 17528320 20606464 25295360 25758080 26402032 33002540 51516160 52804064 66005080 103032320 105608128 132010160 211216256 264020320 422432512 528040640 844865024 1056081280 2112162560 4224325120