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3223442000 = 24533151991
BaseRepresentation
bin1100000000100001…
…1101001001010000
322022122110211010202
43000020131021100
523100200121000
61251505314332
7142610543042
oct30010351120
98278424122
103223442000
111404604759
1275b6359a8
133c4a8883c
1422816ba92
1513cecddd5
hexc021d250

3223442000 has 80 divisors (see below), whose sum is σ = 8045865984. Its totient is φ = 1247760000.

The previous prime is 3223441997. The next prime is 3223442003. The reversal of 3223442000 is 2443223.

It is an interprime number because it is at equal distance from previous prime (3223441997) and next prime (3223442003).

It is a tau number, because it is divible by the number of its divisors (80).

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 (3223442003) 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, 36005 + ... + 87995.

Almost surely, 23223442000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022932992).

3223442000 is an abundant number, since it is smaller than the sum of its proper divisors (4822423984).

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

3223442000 is a wasteful number, since it uses less digits than its factorization.

3223442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52045 (or 52029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3223442000 is about 56775.3643757572. The cubic root of 3223442000 is about 1477.2022260204.

Adding to 3223442000 its reverse (2443223), we get a palindrome (3225885223).

The spelling of 3223442000 in words is "three billion, two hundred twenty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 51991 62000 103982 207964 259955 415928 519910 831856 1039820 1299775 1611721 2079640 2599550 3223442 4159280 5199100 6446884 6498875 8058605 10398200 12893768 12997750 16117210 20796400 25787536 25995500 32234420 40293025 51991000 64468840 80586050 103982000 128937680 161172100 201465125 322344200 402930250 644688400 805860500 1611721000 3223442000