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2198863980 = 22325174715289
BaseRepresentation
bin1000001100010000…
…0000000001101100
312200020112212022200
42003010000001230
514000402121410
61002105141500
7105330015105
oct20304000154
95606485280
102198863980
11a29224065
1251448a890
13290724561
1416c0633ac
15cd0953c0
hex8310006c

2198863980 has 144 divisors (see below), whose sum is σ = 7212965760. Its totient is φ = 540094464.

The previous prime is 2198863973. The next prime is 2198863981. The reversal of 2198863980 is 893688912.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2198863981) 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, 136176 + ... + 151464.

It is an arithmetic number, because the mean of its divisors is an integer number (50090040).

Almost surely, 22198863980 is an apocalyptic number.

2198863980 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 2198863980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606482880).

2198863980 is an abundant number, since it is smaller than the sum of its proper divisors (5014101780).

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

2198863980 is a wasteful number, since it uses less digits than its factorization.

2198863980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15363 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2198863980 is about 46892.0460206206. The cubic root of 2198863980 is about 1300.3675449905.

The spelling of 2198863980 in words is "two billion, one hundred ninety-eight million, eight hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 470 510 564 612 705 765 799 846 940 1020 1410 1530 1598 1692 2115 2397 2820 3060 3196 3995 4230 4794 7191 7990 8460 9588 11985 14382 15289 15980 23970 28764 30578 35955 45867 47940 61156 71910 76445 91734 137601 143820 152890 183468 229335 259913 275202 305780 458670 519826 550404 688005 718583 779739 917340 1039652 1299565 1376010 1437166 1559478 2155749 2339217 2599130 2752020 2874332 3118956 3592915 3898695 4311498 4678434 5198260 6467247 7185830 7797390 8622996 9356868 10778745 11696085 12215911 12934494 14371660 15594780 21557490 23392170 24431822 25868988 32336235 36647733 43114980 46784340 48863644 61079555 64672470 73295466 109943199 122159110 129344940 146590932 183238665 219886398 244318220 366477330 439772796 549715995 732954660 1099431990 2198863980