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642226640 = 245112712693
BaseRepresentation
bin100110010001111…
…001100111010000
31122202110111022212
4212101321213100
52303402223030
6143421051252
721625556606
oct4621714720
91582414285
10642226640
112aa57a420
1215b0b6b28
13a3091a83
1461419876
153b5ae595
hex264799d0

642226640 has 80 divisors (see below), whose sum is σ = 1635538176. Its totient is φ = 232588800.

The previous prime is 642226639. The next prime is 642226643. The reversal of 642226640 is 46622246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 642226597 and 642226606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642226643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237134 + ... + 239826.

Almost surely, 2642226640 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 642226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817769088).

642226640 is an abundant number, since it is smaller than the sum of its proper divisors (993311536).

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

642226640 is a wasteful number, since it uses less digits than its factorization.

642226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 642226640 is about 25342.1909076544. The cubic root of 642226640 is about 862.7721255734.

Adding to 642226640 its reverse (46622246), we get a palindrome (688848886).

The spelling of 642226640 in words is "six hundred forty-two million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 440 542 880 1084 1355 2168 2693 2710 2981 4336 5386 5420 5962 10772 10840 11924 13465 14905 21544 21680 23848 26930 29623 29810 43088 47696 53860 59246 59620 107720 118492 119240 148115 215440 236984 238480 296230 473968 592460 729803 1184920 1459606 2369840 2919212 3649015 5838424 7298030 8027833 11676848 14596060 16055666 29192120 32111332 40139165 58384240 64222664 80278330 128445328 160556660 321113320 642226640