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2508062220 = 22325714432
BaseRepresentation
bin1001010101111101…
…1111111000001100
320110210100202120100
42111133133320030
520114030442340
61052512251100
7116103114516
oct22537377014
96423322510
102508062220
1110778102a4
1259bb40a90
1330c7c2cb1
1419b14cbb6
15ea2be830
hex957dfe0c

2508062220 has 108 divisors (see below), whose sum is σ = 7732395216. Its totient is φ = 657908160.

The previous prime is 2508062201. The next prime is 2508062231. The reversal of 2508062220 is 222608052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5661319 + ... + 5661761.

It is an arithmetic number, because the mean of its divisors is an integer number (71596252).

Almost surely, 22508062220 is an apocalyptic number.

2508062220 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 2508062220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866197608).

2508062220 is an abundant number, since it is smaller than the sum of its proper divisors (5224332996).

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

2508062220 is a wasteful number, since it uses less digits than its factorization.

2508062220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2508062220 is about 50080.5573052058. The cubic root of 2508062220 is about 1358.6661915855. Note that the first 3 decimals are identical.

The spelling of 2508062220 in words is "two billion, five hundred eight million, sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 443 639 710 852 886 1065 1278 1329 1420 1772 2130 2215 2556 2658 3195 3987 4260 4430 5316 6390 6645 7974 8860 12780 13290 15948 19935 26580 31453 39870 62906 79740 94359 125812 157265 188718 196249 283077 314530 377436 392498 471795 566154 588747 629060 784996 943590 981245 1132308 1177494 1415385 1766241 1887180 1962490 2354988 2830770 2943735 3532482 3924980 5661540 5887470 7064964 8831205 11774940 13933679 17662410 27867358 35324820 41801037 55734716 69668395 83602074 125403111 139336790 167204148 209005185 250806222 278673580 418010370 501612444 627015555 836020740 1254031110 2508062220