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3224022240 = 253523212697
BaseRepresentation
bin1100000000101010…
…1010110011100000
322022200120022002010
43000022222303200
523100322202430
61251525552520
7142615510515
oct30012526340
98280508063
103224022240
11140497069a
1275b875740
133c4c2c98a
1422827d30c
1513d095cb0
hexc02aace0

3224022240 has 144 divisors (see below), whose sum is σ = 10617254928. Its totient is φ = 822294528.

The previous prime is 3224022209. The next prime is 3224022247. The reversal of 3224022240 is 422204223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224022247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247572 + ... + 260268.

It is an arithmetic number, because the mean of its divisors is an integer number (73730937).

Almost surely, 23224022240 is an apocalyptic number.

3224022240 is a gapful number since it is divisible by the number (30) 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 3224022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308627464).

3224022240 is an abundant number, since it is smaller than the sum of its proper divisors (7393232688).

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

3224022240 is a wasteful number, since it uses less digits than its factorization.

3224022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3224022240 is about 56780.4741086229. The cubic root of 3224022240 is about 1477.2908559586.

Adding to 3224022240 its reverse (422204223), we get a palindrome (3646226463).

The spelling of 3224022240 in words is "three billion, two hundred twenty-four million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 529 552 690 736 920 1058 1104 1380 1587 1840 2116 2208 2645 2760 3174 3680 4232 5290 5520 6348 7935 8464 10580 11040 12696 12697 15870 16928 21160 25392 25394 31740 38091 42320 50784 50788 63480 63485 76182 84640 101576 126960 126970 152364 190455 203152 253920 253940 292031 304728 380910 406304 507880 584062 609456 761820 876093 1015760 1168124 1218912 1460155 1523640 1752186 2031520 2336248 2920310 3047280 3504372 4380465 4672496 5840620 6094560 6716713 7008744 8760930 9344992 11681240 13433426 14017488 17521860 20150139 23362480 26866852 28034976 33583565 35043720 40300278 46724960 53733704 67167130 70087440 80600556 100750695 107467408 134334260 140174880 161201112 201501390 214934816 268668520 322402224 403002780 537337040 644804448 806005560 1074674080 1612011120 3224022240