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2722166980 = 2251371239617
BaseRepresentation
bin1010001001000000…
…1111100011000100
321000201020102002021
42202100033203010
521033333320410
61130041252524
7124313015611
oct24220174304
97021212067
102722166980
111177657385
1263b794144
13344c782c0
141bb763508
1510deb2eda
hexa240f8c4

2722166980 has 96 divisors (see below), whose sum is σ = 6279275520. Its totient is φ = 985205760.

The previous prime is 2722166963. The next prime is 2722166989. The reversal of 2722166980 is 896612272.

It is not an unprimeable number, because it can be changed into a prime (2722166989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411632 + ... + 4412248.

It is an arithmetic number, because the mean of its divisors is an integer number (65409120).

Almost surely, 22722166980 is an apocalyptic number.

2722166980 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 2722166980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139637760).

2722166980 is an abundant number, since it is smaller than the sum of its proper divisors (3557108540).

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

2722166980 is a wasteful number, since it uses less digits than its factorization.

2722166980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 2722166980 is about 52174.3900778917. The cubic root of 2722166980 is about 1396.2770096673.

The spelling of 2722166980 in words is "two billion, seven hundred twenty-two million, one hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 239 260 284 355 478 617 710 923 956 1195 1234 1420 1846 2390 2468 3085 3107 3692 4615 4780 6170 6214 8021 9230 12340 12428 15535 16042 16969 18460 31070 32084 33938 40105 43807 62140 67876 80210 84845 87614 147463 160420 169690 175228 219035 220597 294926 339380 438070 441194 569491 589852 737315 876140 882388 1102985 1138982 1474630 1917019 2205970 2277964 2847455 2949260 3834038 4411940 5694910 7668076 9585095 10469873 11389820 19170190 20939746 38340380 41879492 52349365 104698730 136108349 209397460 272216698 544433396 680541745 1361083490 2722166980