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199229440 = 221519
BaseRepresentation
bin10111110000000…
…00000000000000
3111212212220102011
423320000000000
5402000320230
631434102304
74636264564
oct1370000000
9455786364
10199229440
11a2507033
125687a994
1332377657
141c6616a4
1512755e2a
hexbe00000

199229440 has 88 divisors (see below), whose sum is σ = 503316360. Its totient is φ = 75497472.

The previous prime is 199229419. The next prime is 199229441. The reversal of 199229440 is 44922991.

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

It is a junction number, because it is equal to n+sod(n) for n = 199229393 and 199229402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199229441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485751 + ... + 10485769.

Almost surely, 2199229440 is an apocalyptic number.

199229440 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 199229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251658180).

199229440 is an abundant number, since it is smaller than the sum of its proper divisors (304086920).

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

199229440 is an frugal number, since it uses more digits than its factorization.

199229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 199229440 is about 14114.8659221404. The cubic root of 199229440 is about 584.0515373295.

The spelling of 199229440 in words is "one hundred ninety-nine million, two hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4096 4864 5120 6080 8192 9728 10240 12160 16384 19456 20480 24320 32768 38912 40960 48640 65536 77824 81920 97280 131072 155648 163840 194560 262144 311296 327680 389120 524288 622592 655360 778240 1048576 1245184 1310720 1556480 2097152 2490368 2621440 3112960 4980736 5242880 6225920 9961472 10485760 12451840 19922944 24903680 39845888 49807360 99614720 199229440