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201223040 = 27559732
BaseRepresentation
bin10111111111001…
…10101110000000
3112000122012010012
423333212232000
5403003114130
631544524052
74662240044
oct1377465600
9460565105
10201223040
11a3648937
1257480628
13328c4bb5
141ca20024
15129eb995
hexbfe6b80

201223040 has 96 divisors (see below), whose sum is σ = 495995400. Its totient is φ = 78041088.

The previous prime is 201223031. The next prime is 201223051. The reversal of 201223040 is 40322102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2756444 + ... + 2756516.

Almost surely, 2201223040 is an apocalyptic number.

201223040 is a gapful number since it is divisible by the number (20) 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 201223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247997700).

201223040 is an abundant number, since it is smaller than the sum of its proper divisors (294772360).

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

201223040 is an frugal number, since it uses more digits than its factorization.

201223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201223040 is about 14185.3107121416. The cubic root of 201223040 is about 585.9931895134.

Adding to 201223040 its reverse (40322102), we get a palindrome (241545142).

It can be divided in two parts, 2012 and 23040, that added together give a palindrome (25052).

The spelling of 201223040 in words is "two hundred one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 73 80 118 128 146 160 236 292 295 320 365 472 584 590 640 730 944 1168 1180 1460 1888 2336 2360 2920 3776 4307 4672 4720 5329 5840 7552 8614 9344 9440 10658 11680 17228 18880 21316 21535 23360 26645 34456 37760 42632 43070 46720 53290 68912 85264 86140 106580 137824 170528 172280 213160 275648 314411 341056 344560 426320 551296 628822 682112 689120 852640 1257644 1378240 1572055 1705280 2515288 2756480 3144110 3410560 5030576 6288220 10061152 12576440 20122304 25152880 40244608 50305760 100611520 201223040