Search a number
-
+
70241220 = 223257107521
BaseRepresentation
bin1000010111111…
…00101111000100
311220011121211200
410023330233010
5120440204340
610545302500
71512016620
oct413745704
9156147750
1070241220
11367162a5
121b634a30
131172456a
149486180
156277330
hex42fcbc4

70241220 has 144 divisors (see below), whose sum is σ = 246250368. Its totient is φ = 15874560.

The previous prime is 70241201. The next prime is 70241239. The reversal of 70241220 is 2214207.

It is an interprime number because it is at equal distance from previous prime (70241201) and next prime (70241239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70241193 and 70241202.

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, 134560 + ... + 135080.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072).

Almost surely, 270241220 is an apocalyptic number.

70241220 is a gapful number since it is divisible by the number (70) 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 70241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123125184).

70241220 is an abundant number, since it is smaller than the sum of its proper divisors (176009148).

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

70241220 is a wasteful number, since it uses less digits than its factorization.

70241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 70241220 is about 8381.0035198656. The cubic root of 70241220 is about 412.6013855474.

Adding to 70241220 its reverse (2214207), we get a palindrome (72455427).

The spelling of 70241220 in words is "seventy million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 521 535 630 642 749 963 1042 1070 1260 1284 1498 1563 1605 1926 2084 2140 2247 2605 2996 3126 3210 3647 3745 3852 4494 4689 4815 5210 6252 6420 6741 7294 7490 7815 8988 9378 9630 10420 10941 11235 13482 14588 14980 15630 18235 18756 19260 21882 22470 23445 26964 31260 32823 33705 36470 43764 44940 46890 54705 55747 65646 67410 72940 93780 109410 111494 131292 134820 164115 167241 218820 222988 278735 328230 334482 390229 501723 557470 656460 668964 780458 836205 1003446 1114940 1170687 1560916 1672410 1951145 2006892 2341374 2508615 3344820 3512061 3902290 4682748 5017230 5853435 7024122 7804580 10034460 11706870 14048244 17560305 23413740 35120610 70241220