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199421352 = 2335132607
BaseRepresentation
bin10111110001011…
…10110110101000
3111220020122200000
423320232312220
5402022440402
631442143000
74641024234
oct1370566650
9456218600
10199421352
11a2628239
1256951a60
1332413b00
141c6b15c4
1512792c1c
hexbe2eda8

199421352 has 144 divisors (see below), whose sum is σ = 607501440. Its totient is φ = 61259328.

The previous prime is 199421347. The next prime is 199421363. The reversal of 199421352 is 253124991.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 328233 + ... + 328839.

It is an arithmetic number, because the mean of its divisors is an integer number (4218760).

Almost surely, 2199421352 is an apocalyptic number.

199421352 is a gapful number since it is divisible by the number (12) 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 199421352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303750720).

199421352 is an abundant number, since it is smaller than the sum of its proper divisors (408080088).

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

199421352 is a wasteful number, since it uses less digits than its factorization.

199421352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 199421352 is about 14121.6625083593. The cubic root of 199421352 is about 584.2390105061.

The spelling of 199421352 in words is "one hundred ninety-nine million, four hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 312 324 338 351 468 486 507 607 648 676 702 936 972 1014 1053 1214 1352 1404 1521 1821 1944 2028 2106 2428 2808 3042 3159 3642 4056 4212 4563 4856 5463 6084 6318 7284 7891 8424 9126 10926 12168 12636 13689 14568 15782 16389 18252 21852 23673 25272 27378 31564 32778 36504 41067 43704 47346 49167 54756 63128 65556 71019 82134 94692 98334 102583 109512 131112 142038 147501 164268 189384 196668 205166 213057 284076 295002 307749 328536 393336 410332 426114 568152 590004 615498 639171 820664 852228 923247 1180008 1230996 1278342 1704456 1846494 1917513 2461992 2556684 2769741 3692988 3835026 5113368 5539482 7385976 7670052 8309223 11078964 15340104 16618446 22157928 24927669 33236892 49855338 66473784 99710676 199421352