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223132000200 = 233523710050991
BaseRepresentation
bin1100111111001110110…
…1000001111111001000
3210022221110020001022120
43033303231001333020
512123433243001300
6250301101051240
722056263464554
oct3176355017710
9708843201276
10223132000200
11866a221933a
12372b2556b20
131806c847365
14ab2a330864
155c0e15a3a0
hex33f3b41fc8

223132000200 has 96 divisors (see below), whose sum is σ = 710404114560. Its totient is φ = 57893702400.

The previous prime is 223132000181. The next prime is 223132000207. The reversal of 223132000200 is 2000231322.

It is a super-3 number, since 3×2231320002003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223132000200.

It is not an unprimeable number, because it can be changed into a prime (223132000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5003296 + ... + 5047695.

It is an arithmetic number, because the mean of its divisors is an integer number (7400042860).

Almost surely, 2223132000200 is an apocalyptic number.

223132000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223132000200 is an abundant number, since it is smaller than the sum of its proper divisors (487272114360).

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

223132000200 is a wasteful number, since it uses less digits than its factorization.

223132000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051047 (or 10051038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223132000200 its reverse (2000231322), we get a palindrome (225132231522).

The spelling of 223132000200 in words is "two hundred twenty-three billion, one hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 10050991 20101982 30152973 40203964 50254955 60305946 80407928 100509910 120611892 150764865 201019820 241223784 251274775 301529730 371886667 402039640 502549550 603059460 743773334 753824325 1005099100 1115660001 1206118920 1487546668 1507648650 1859433335 2010198200 2231320002 2975093336 3015297300 3718866670 4462640004 5578300005 6030594600 7437733340 8925280008 9297166675 11156600010 14875466680 18594333350 22313200020 27891500025 37188666700 44626400040 55783000050 74377333400 111566000100 223132000200