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642254220 = 2232517209887
BaseRepresentation
bin100110010010000…
…000010110001100
31122202111220011100
4212102000112030
52303404113340
6143421423100
721626033166
oct4622002614
91582456140
10642254220
112aa599113
1215b10aa90
13a30a14aa
1461425936
153b5b7830
hex2648058c

642254220 has 72 divisors (see below), whose sum is σ = 2062779264. Its totient is φ = 161192448.

The previous prime is 642254209. The next prime is 642254227. The reversal of 642254220 is 22452246.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (642254227) 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, 101884 + ... + 108003.

It is an arithmetic number, because the mean of its divisors is an integer number (28649712).

Almost surely, 2642254220 is an apocalyptic number.

642254220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642254220 is an abundant number, since it is smaller than the sum of its proper divisors (1420525044).

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

642254220 is a wasteful number, since it uses less digits than its factorization.

642254220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209919 (or 209914 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 642254220 is about 25342.7350536599. The cubic root of 642254220 is about 862.7844757901.

The spelling of 642254220 in words is "six hundred forty-two million, two hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 209887 419774 629661 839548 1049435 1259322 1888983 2098870 2518644 3148305 3568079 3777966 4197740 6296610 7136158 7555932 9444915 10704237 12593220 14272316 17840395 18889830 21408474 32112711 35680790 37779660 42816948 53521185 64225422 71361580 107042370 128450844 160563555 214084740 321127110 642254220