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3142002220 = 225717279983
BaseRepresentation
bin1011101101000111…
…0010011000101100
322002222020020202121
42323101302120230
522413323032340
61235440002324
7140601402220
oct27321623054
98088206677
103142002220
11137263a855
127383003a4
133b0c43016
1421b40c780
15135c9394a
hexbb47262c

3142002220 has 144 divisors (see below), whose sum is σ = 8120125440. Its totient is φ = 1000037376.

The previous prime is 3142002197. The next prime is 3142002229. The reversal of 3142002220 is 222002413.

3142002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3142002194 and 3142002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142002229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195849 + ... + 3196831.

It is an arithmetic number, because the mean of its divisors is an integer number (56389760).

Almost surely, 23142002220 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 3142002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060062720).

3142002220 is an abundant number, since it is smaller than the sum of its proper divisors (4978123220).

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

3142002220 is a wasteful number, since it uses less digits than its factorization.

3142002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1093 counting only the distinct ones).

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

The square root of 3142002220 is about 56053.5656314565. The cubic root of 3142002220 is about 1464.6555306074.

Adding to 3142002220 its reverse (222002413), we get a palindrome (3364004633).

The spelling of 3142002220 in words is "three billion, one hundred forty-two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 79 85 119 140 158 170 238 289 316 340 395 476 553 578 595 790 983 1106 1156 1190 1343 1445 1580 1966 2023 2212 2380 2686 2765 2890 3932 4046 4915 5372 5530 5780 6715 6881 8092 9401 9830 10115 11060 13430 13762 16711 18802 19660 20230 22831 26860 27524 33422 34405 37604 40460 45662 47005 66844 68810 77657 83555 91324 94010 114155 116977 137620 155314 159817 167110 188020 228310 233954 284087 310628 319634 334220 388285 456620 467908 543599 568174 584885 639268 776570 799085 1087198 1136348 1169770 1320169 1420435 1553140 1598170 1988609 2174396 2339540 2640338 2717995 2840870 3196340 3977218 5280676 5435990 5681740 6600845 7954436 9241183 9943045 10871980 13201690 18482366 19886090 22442873 26403380 36964732 39772180 44885746 46205915 89771492 92411830 112214365 157100111 184823660 224428730 314200222 448857460 628400444 785500555 1571001110 3142002220