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3224144140 = 2257223313457
BaseRepresentation
bin1100000000101100…
…1000100100001100
322022200210111021221
43000023020210030
523100340103030
61251532333124
7142616526100
oct30013104414
98280714257
103224144140
111404a44238
1275b9141a4
133c4c732c9
142282b1900
1513d0bbe7a
hexc02c890c

3224144140 has 144 divisors (see below), whose sum is σ = 8262862272. Its totient is φ = 1051674624.

The previous prime is 3224144113. The next prime is 3224144159. The reversal of 3224144140 is 414414223.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7054792 + ... + 7055248.

It is an arithmetic number, because the mean of its divisors is an integer number (57380988).

Almost surely, 23224144140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131431136).

3224144140 is an abundant number, since it is smaller than the sum of its proper divisors (5038718132).

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

3224144140 is a wasteful number, since it uses less digits than its factorization.

3224144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 3224144140 is about 56781.5475308660. The cubic root of 3224144140 is about 1477.3094744701.

Adding to 3224144140 its reverse (414414223), we get a palindrome (3638558363).

The spelling of 3224144140 in words is "three billion, two hundred twenty-four million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 313 322 457 460 490 626 644 805 914 980 1127 1252 1565 1610 1828 2191 2254 2285 3130 3199 3220 4382 4508 4570 5635 6260 6398 7199 8764 9140 10511 10955 11270 12796 14398 15337 15995 21022 21910 22393 22540 28796 30674 31990 35995 42044 43820 44786 50393 52555 61348 63980 71990 73577 76685 89572 100786 105110 111965 143041 143980 147154 153370 201572 210220 223930 251965 286082 294308 306740 352751 367885 447860 503930 515039 572164 705502 715205 735770 1001287 1007860 1030078 1411004 1430410 1471540 1763755 2002574 2060156 2575195 2860820 3289943 3527510 4005148 5006435 5150390 6579886 7009009 7055020 10012870 10300780 13159772 14018018 16449715 20025740 23029601 28036036 32899430 35045045 46059202 65798860 70090090 92118404 115148005 140180180 161207207 230296010 322414414 460592020 644828828 806036035 1612072070 3224144140