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196226920 = 23517596773
BaseRepresentation
bin10111011001000…
…10111101101000
3111200020100201201
423230202331220
5400213230140
631245453544
74601621101
oct1354427550
9450210651
10196226920
11a084620a
12558712b4
1331865b06
141c0bd3a8
151236149a
hexbb22f68

196226920 has 128 divisors (see below), whose sum is σ = 489110400. Its totient is φ = 70557696.

The previous prime is 196226917. The next prime is 196226929. The reversal of 196226920 is 29622691.

It is a self number, because there is not a number n which added to its sum of digits gives 196226920.

It is not an unprimeable number, because it can be changed into a prime (196226929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2688004 + ... + 2688076.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2196226920 is an apocalyptic number.

196226920 is a gapful number since it is divisible by the number (10) 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 196226920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244555200).

196226920 is an abundant number, since it is smaller than the sum of its proper divisors (292883480).

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

196226920 is a wasteful number, since it uses less digits than its factorization.

196226920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 196226920 is about 14008.1019413766. The cubic root of 196226920 is about 581.1026586106.

It can be divided in two parts, 1962 and 26920, that added together give a palindrome (28882).

The spelling of 196226920 in words is "one hundred ninety-six million, two hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 67 68 73 85 118 134 136 146 170 236 268 292 295 335 340 365 472 536 584 590 670 680 730 1003 1139 1180 1241 1340 1460 2006 2278 2360 2482 2680 2920 3953 4012 4307 4556 4891 4964 5015 5695 6205 7906 8024 8614 9112 9782 9928 10030 11390 12410 15812 17228 19564 19765 20060 21535 22780 24455 24820 31624 34456 39128 39530 40120 43070 45560 48910 49640 67201 73219 79060 83147 86140 97820 134402 146438 158120 166294 172280 195640 268804 288569 292876 332588 336005 366095 415735 537608 577138 585752 665176 672010 732190 831470 1154276 1344020 1442845 1464380 1662940 2308552 2688040 2885690 2928760 3325880 4905673 5771380 9811346 11542760 19622692 24528365 39245384 49056730 98113460 196226920