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146226210600 = 233521714335903
BaseRepresentation
bin1000100000101111000…
…0101110011100101000
3111222102202102011000210
42020023300232130220
54343432402214400
6151101515101120
713364423165541
oct2101360563450
9458382364023
10146226210600
115701797a338
122440aa417a0
1310a34791292
1471124c34c8
153c0c63e950
hex220bc2e728

146226210600 has 96 divisors (see below), whose sum is σ = 479966065920. Its totient is φ = 36699909120.

The previous prime is 146226210569. The next prime is 146226210619. The reversal of 146226210600 is 6012622641.

146226210600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7157752 + ... + 7178151.

It is an arithmetic number, because the mean of its divisors is an integer number (4999646520).

Almost surely, 2146226210600 is an apocalyptic number.

146226210600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146226210600 is an abundant number, since it is smaller than the sum of its proper divisors (333739855320).

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

146226210600 is a wasteful number, since it uses less digits than its factorization.

146226210600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14335939 (or 14335930 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 146226210600 in words is "one hundred forty-six billion, two hundred twenty-six million, two hundred ten thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 14335903 28671806 43007709 57343612 71679515 86015418 114687224 143359030 172030836 215038545 243710351 286718060 344061672 358397575 430077090 487420702 573436120 716795150 731131053 860154180 974841404 1075192725 1218551755 1433590300 1462262106 1720308360 1949682808 2150385450 2437103510 2867180600 2924524212 3655655265 4300770900 4874207020 5849048424 6092758775 7311310530 8601541800 9748414040 12185517550 14622621060 18278276325 24371035100 29245242120 36556552650 48742070200 73113105300 146226210600