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226421990400 = 2103522948203
BaseRepresentation
bin1101001011011111001…
…1010110010000000000
3210122102201220212102110
43102313303112100000
512202203012143100
6252003345015320
722233643106664
oct3226763262000
9718381825373
10226421990400
1188030346701
1237a70324540
1318475333518
14ad5d2628a4
155d52dd2250
hex34b7cd6400

226421990400 has 132 divisors (see below), whose sum is σ = 748336724912. Its totient is φ = 60379176960.

The previous prime is 226421990383. The next prime is 226421990419. The reversal of 226421990400 is 4099124622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397302 + ... + 1550901.

Almost surely, 2226421990400 is an apocalyptic number.

226421990400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226421990400 is an abundant number, since it is smaller than the sum of its proper divisors (521914734512).

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

226421990400 is a wasteful number, since it uses less digits than its factorization.

226421990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948236 (or 2948213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 226421990400 in words is "two hundred twenty-six billion, four hundred twenty-one million, nine hundred ninety thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 38400 76800 2948203 5896406 8844609 11792812 14741015 17689218 23585624 29482030 35378436 44223045 47171248 58964060 70756872 73705075 88446090 94342496 117928120 141513744 147410150 176892180 188684992 221115225 235856240 283027488 294820300 353784360 377369984 442230450 471712480 566054976 589640600 707568720 754739968 884460900 943424960 1132109952 1179281200 1415137440 1509479936 1768921800 1886849920 2264219904 2358562400 2830274880 3018959872 3537843600 3773699840 4528439808 4717124800 5660549760 7075687200 7547399680 9056879616 9434249600 11321099520 14151374400 15094799360 18868499200 22642199040 28302748800 37736998400 45284398080 56605497600 75473996800 113210995200 226421990400