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3220001250 = 235419431051
BaseRepresentation
bin1011111111101101…
…0101000111100010
322022102000000022120
42333323111013202
523043310020000
61251303445110
7142536362514
oct27773250742
98272000276
103220001250
111402674664
1275a456796
133c41526ab
14227913bb4
1513ca4e6a0
hexbfed51e2

3220001250 has 160 divisors (see below), whose sum is σ = 8676222720. Its totient is φ = 793800000.

The previous prime is 3220001237. The next prime is 3220001251. The reversal of 3220001250 is 521000223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3220001251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3063225 + ... + 3064275.

It is an arithmetic number, because the mean of its divisors is an integer number (54226392).

Almost surely, 23220001250 is an apocalyptic number.

3220001250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220001250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338111360).

3220001250 is an abundant number, since it is smaller than the sum of its proper divisors (5456221470).

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

3220001250 is a wasteful number, since it uses less digits than its factorization.

3220001250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3220001250 is about 56745.0548506211. The cubic root of 3220001250 is about 1476.6764430141.

Adding to 3220001250 its reverse (521000223), we get a palindrome (3741001473).

The spelling of 3220001250 in words is "three billion, two hundred twenty million, one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 43 50 57 75 86 95 114 125 129 150 190 215 250 258 285 375 430 475 570 625 645 750 817 950 1051 1075 1250 1290 1425 1634 1875 2102 2150 2375 2451 2850 3153 3225 3750 4085 4750 4902 5255 5375 6306 6450 7125 8170 10510 10750 11875 12255 14250 15765 16125 19969 20425 23750 24510 26275 26875 31530 32250 35625 39938 40850 45193 52550 53750 59907 61275 71250 78825 80625 90386 99845 102125 119814 122550 131375 135579 157650 161250 199690 204250 225965 262750 271158 299535 306375 394125 451930 499225 510625 599070 612750 656875 677895 788250 858667 998450 1021250 1129825 1313750 1355790 1497675 1531875 1717334 1970625 2259650 2496125 2576001 2995350 3063750 3389475 3941250 4293335 4992250 5152002 5649125 6778950 7488375 8586670 11298250 12480625 12880005 14976750 16947375 21466675 24961250 25760010 28245625 33894750 37441875 42933350 56491250 64400025 74883750 84736875 107333375 128800050 169473750 214666750 322000125 536666875 644000250 1073333750 1610000625 3220001250