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2902122320 = 2451923172
BaseRepresentation
bin1010110011111010…
…1101111101010000
321111020212002101212
42230332231331100
521420420403240
61155550315252
7131626430006
oct25476557520
97436762355
102902122320
11125a1994a9
1268bab8b28
13373334a56
141d7608a76
1511ebad165
hexacfadf50

2902122320 has 90 divisors (see below), whose sum is σ = 7143788862. Its totient is φ = 1096282368.

The previous prime is 2902122317. The next prime is 2902122337. The reversal of 2902122320 is 232212092.

It can be written as a sum of positive squares in 3 ways, for example, as 144192064 + 2757930256 = 12008^2 + 52516^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 9154802 + ... + 9155118.

Almost surely, 22902122320 is an apocalyptic number.

2902122320 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 2902122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571894431).

2902122320 is an abundant number, since it is smaller than the sum of its proper divisors (4241666542).

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

2902122320 is an equidigital number, since it uses as much as digits as its factorization.

2902122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2902122320 is about 53871.3497139249. The cubic root of 2902122320 is about 1426.3909381640.

The spelling of 2902122320 in words is "two billion, nine hundred two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 317 361 380 634 722 760 1268 1444 1520 1585 1805 2536 2888 3170 3610 5072 5776 6023 6340 7220 12046 12680 14440 24092 25360 28880 30115 48184 60230 96368 100489 114437 120460 200978 228874 240920 401956 457748 481840 502445 572185 803912 915496 1004890 1144370 1607824 1830992 1909291 2009780 2288740 3818582 4019560 4577480 7637164 8039120 9154960 9546455 15274328 19092910 30548656 36276529 38185820 72553058 76371640 145106116 152743280 181382645 290212232 362765290 580424464 725530580 1451061160 2902122320