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1222064820 = 223453532137
BaseRepresentation
bin100100011010111…
…0011101010110100
310011011112022210000
41020311303222310
510000322033240
6321133031300
742166244124
oct11065635264
93134468700
101222064820
11577907429
122a1325530
1316624b6a2
14b8434c84
1572448430
hex48d73ab4

1222064820 has 120 divisors (see below), whose sum is σ = 3846321864. Its totient is φ = 324808704.

The previous prime is 1222064777. The next prime is 1222064827. The reversal of 1222064820 is 284602221.

It is a happy number.

1222064820 is a `hidden beast` number, since 12 + 2 + 2 + 0 + 648 + 2 + 0 = 666.

1222064820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 1221921936 = 378^2 + 34956^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222064827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570792 + ... + 572928.

Almost surely, 21222064820 is an apocalyptic number.

1222064820 is a gapful number since it is divisible by the number (10) 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 1222064820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923160932).

1222064820 is an abundant number, since it is smaller than the sum of its proper divisors (2624257044).

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

1222064820 is a wasteful number, since it uses less digits than its factorization.

1222064820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1222064820 is about 34958.0437095670. The cubic root of 1222064820 is about 1069.1322104799.

The spelling of 1222064820 in words is "one billion, two hundred twenty-two million, sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 353 405 540 706 810 1059 1412 1620 1765 2118 2137 3177 3530 4236 4274 5295 6354 6411 7060 8548 9531 10590 10685 12708 12822 15885 19062 19233 21180 21370 25644 28593 31770 32055 38124 38466 42740 47655 57186 57699 63540 64110 76932 95310 96165 114372 115398 128220 142965 173097 190620 192330 230796 285930 288495 346194 384660 571860 576990 692388 754361 865485 1153980 1508722 1730970 2263083 3017444 3461940 3771805 4526166 6789249 7543610 9052332 11315415 13578498 15087220 20367747 22630830 27156996 33946245 40735494 45261660 61103241 67892490 81470988 101838735 122206482 135784980 203677470 244412964 305516205 407354940 611032410 1222064820