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2533339980 = 22325412291499
BaseRepresentation
bin1001011011111111…
…1011001101001100
320112112221000010200
42112333323031030
520142013334410
61055214133500
7116531014563
oct22677731514
96475830120
102533339980
111090005906
125a84b1290
13314b03752
141a064cbda
15ec6143c0
hex96ffb34c

2533339980 has 144 divisors (see below), whose sum is σ = 7911540000. Its totient is φ = 655764480.

The previous prime is 2533339961. The next prime is 2533339981. The reversal of 2533339980 is 899333352.

It is a happy number.

2533339980 is a `hidden beast` number, since 2 + 533 + 3 + 39 + 9 + 80 = 666.

It is a super-2 number, since 2×25333399802 = 12835622908532800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2533339981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689271 + ... + 1690769.

It is an arithmetic number, because the mean of its divisors is an integer number (54941250).

Almost surely, 22533339980 is an apocalyptic number.

2533339980 is a gapful number since it is divisible by the number (20) 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 2533339980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955770000).

2533339980 is an abundant number, since it is smaller than the sum of its proper divisors (5378200020).

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

2533339980 is a wasteful number, since it uses less digits than its factorization.

2533339980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 2533339980 is about 50332.2955963664. The cubic root of 2533339980 is about 1363.2154274336.

The spelling of 2533339980 in words is "two billion, five hundred thirty-three million, three hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 229 246 369 410 458 492 615 687 738 820 916 1145 1230 1374 1476 1499 1845 2061 2290 2460 2748 2998 3435 3690 4122 4497 4580 5996 6870 7380 7495 8244 8994 9389 10305 13491 13740 14990 17988 18778 20610 22485 26982 28167 29980 37556 41220 44970 46945 53964 56334 61459 67455 84501 89940 93890 112668 122918 134910 140835 169002 184377 187780 245836 269820 281670 307295 338004 343271 368754 422505 553131 563340 614590 686542 737508 845010 921885 1029813 1106262 1229180 1373084 1690020 1716355 1843770 2059626 2212524 2765655 3089439 3432710 3687540 4119252 5149065 5531310 6178878 6865420 10298130 11062620 12357756 14074111 15447195 20596260 28148222 30894390 42222333 56296444 61788780 70370555 84444666 126666999 140741110 168889332 211111665 253333998 281482220 422223330 506667996 633334995 844446660 1266669990 2533339980