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72002220 = 22356717911
BaseRepresentation
bin1000100101010…
…10101010101100
312000111002110220
410102222222230
5121413032340
611051131340
71533003003
oct422525254
9160432426
1072002220
1137709374
1220143b50
1311bbcc84
1497c3c3a
1564c3ed0
hex44aaaac

72002220 has 48 divisors (see below), whose sum is σ = 204626688. Its totient is φ = 18912960.

The previous prime is 72002219. The next prime is 72002221. The reversal of 72002220 is 2220027.

It is an interprime number because it is at equal distance from previous prime (72002219) and next prime (72002221).

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 72002220.

It is not an unprimeable number, because it can be changed into a prime (72002221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4936 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (4263056).

Almost surely, 272002220 is an apocalyptic number.

It is an amenable number.

72002220 is an abundant number, since it is smaller than the sum of its proper divisors (132624468).

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

72002220 is a wasteful number, since it uses less digits than its factorization.

72002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17990 (or 17988 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72002220 is about 8485.4121879847. The cubic root of 72002220 is about 416.0210402943.

Adding to 72002220 its reverse (2220027), we get a palindrome (74222247).

The spelling of 72002220 in words is "seventy-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 17911 35822 53733 71644 89555 107466 179110 214932 268665 358220 537330 1074660 1200037 2400074 3600111 4800148 6000185 7200222 12000370 14400444 18000555 24000740 36001110 72002220