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2188640982 = 231123123137
BaseRepresentation
bin1000001001110100…
…0000001011010110
312122112022111000010
42002131000023112
513440243002412
61001102101050
7105144066333
oct20235001326
95575274003
102188640982
11a23481400
12510b7a786
1328b585348
1416a96198a
15cc22633c
hex827402d6

2188640982 has 72 divisors (see below), whose sum is σ = 4973190264. Its totient is φ = 641625600.

The previous prime is 2188640957. The next prime is 2188640999. The reversal of 2188640982 is 2890468812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696118 + ... + 699254.

It is an arithmetic number, because the mean of its divisors is an integer number (69072087).

Almost surely, 22188640982 is an apocalyptic number.

2188640982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188640982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486595132).

2188640982 is an abundant number, since it is smaller than the sum of its proper divisors (2784549282).

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

2188640982 is a wasteful number, since it uses less digits than its factorization.

2188640982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2188640982 is about 46782.9133551984. The cubic root of 2188640982 is about 1298.3491830833.

The spelling of 2188640982 in words is "two billion, one hundred eighty-eight million, six hundred forty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 961 1023 1922 2046 2883 3137 3751 5766 6274 7502 9411 10571 11253 18822 21142 22506 31713 34507 63426 69014 97247 103521 116281 194494 207042 232562 291741 348843 379577 583482 697686 759154 1069717 1138731 2139434 2277462 3014657 3209151 6029314 6418302 9043971 11766887 18087942 23533774 33161227 35300661 66322454 70601322 99483681 198967362 364773497 729546994 1094320491 2188640982