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2213255000 = 23541140241
BaseRepresentation
bin1000001111101011…
…1001011101011000
312201020122000002102
42003322321131120
514013043130000
61003341422532
7105563233325
oct20372713530
95636560072
102213255000
11a36363270
1251926aa48
132936c2958
1416dd2bb4c
15ce4893d5
hex83eb9758

2213255000 has 80 divisors (see below), whose sum is σ = 5657220360. Its totient is φ = 804800000.

The previous prime is 2213254997. The next prime is 2213255003. The reversal of 2213255000 is 5523122.

It is an interprime number because it is at equal distance from previous prime (2213254997) and next prime (2213255003).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213255003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 34880 + ... + 75120.

Almost surely, 22213255000 is an apocalyptic number.

2213255000 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 2213255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828610180).

2213255000 is an abundant number, since it is smaller than the sum of its proper divisors (3443965360).

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

2213255000 is a wasteful number, since it uses less digits than its factorization.

2213255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40278 (or 40259 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2213255000 is about 47045.2441804695. The cubic root of 2213255000 is about 1303.1982396867.

Adding to 2213255000 its reverse (5523122), we get a palindrome (2218778122).

The spelling of 2213255000 in words is "two billion, two hundred thirteen million, two hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 40241 55000 80482 160964 201205 321928 402410 442651 804820 885302 1006025 1609640 1770604 2012050 2213255 3541208 4024100 4426510 5030125 8048200 8853020 10060250 11066275 17706040 20120500 22132550 25150625 40241000 44265100 50301250 55331375 88530200 100602500 110662750 201205000 221325500 276656875 442651000 553313750 1106627500 2213255000