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2198364160 = 2135191281
BaseRepresentation
bin1000001100001000…
…0110000000000000
312200012121110200211
42003002012000000
514000240123120
61002050323504
7105322533646
oct20302060000
95605543624
102198364160
11a28a12593
12514289594
132905aabc5
1416bd73196
15ccee725a
hex83086000

2198364160 has 112 divisors (see below), whose sum is σ = 5322246912. Its totient is φ = 871628800.

The previous prime is 2198364151. The next prime is 2198364167. The reversal of 2198364160 is 614638912.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198364167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7823220 + ... + 7823500.

Almost surely, 22198364160 is an apocalyptic number.

2198364160 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 2198364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661123456).

2198364160 is an abundant number, since it is smaller than the sum of its proper divisors (3123882752).

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

2198364160 is an equidigital number, since it uses as much as digits as its factorization.

2198364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2198364160 is about 46886.7162424497. The cubic root of 2198364160 is about 1300.2690094187.

The spelling of 2198364160 in words is "two billion, one hundred ninety-eight million, three hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 256 281 320 382 512 562 640 764 955 1024 1124 1280 1405 1528 1910 2048 2248 2560 2810 3056 3820 4096 4496 5120 5620 6112 7640 8192 8992 10240 11240 12224 15280 17984 20480 22480 24448 30560 35968 40960 44960 48896 53671 61120 71936 89920 97792 107342 122240 143872 179840 195584 214684 244480 268355 287744 359680 391168 429368 488960 536710 575488 719360 782336 858736 977920 1073420 1150976 1438720 1564672 1717472 1955840 2146840 2301952 2877440 3434944 3911680 4293680 5754880 6869888 7823360 8587360 11509760 13739776 17174720 27479552 34349440 54959104 68698880 109918208 137397760 219836416 274795520 439672832 549591040 1099182080 2198364160