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3223413200 = 245272350053
BaseRepresentation
bin1100000000100001…
…0110000111010000
322022122102100122002
43000020112013100
523100143210300
61251504533132
7142610363060
oct30010260720
98278370562
103223413200
111404595057
1275b6211a8
133c4a786b7
142281613a0
1513cec55d5
hexc02161d0

3223413200 has 120 divisors (see below), whose sum is σ = 9235563648. Its totient is φ = 1057098240.

The previous prime is 3223413181. The next prime is 3223413203. The reversal of 3223413200 is 23143223.

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 (3223413203) 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, 39374 + ... + 89426.

Almost surely, 23223413200 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 3223413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617781824).

3223413200 is an abundant number, since it is smaller than the sum of its proper divisors (6012150448).

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

3223413200 is a wasteful number, since it uses less digits than its factorization.

3223413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50101 (or 50090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3223413200 is about 56775.1107440576. The cubic root of 3223413200 is about 1477.1978266288.

Adding to 3223413200 its reverse (23143223), we get a palindrome (3246556423).

The spelling of 3223413200 in words is "three billion, two hundred twenty-three million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 50053 64400 100106 200212 250265 350371 400424 500530 700742 800848 1001060 1151219 1251325 1401484 1751855 2002120 2302438 2502650 2802968 3503710 4004240 4604876 5005300 5605936 5756095 7007420 8058533 8759275 9209752 10010600 11512190 14014840 16117066 17518550 18419504 20021200 23024380 28029680 28780475 32234132 35037100 40292665 46048760 57560950 64468264 70074200 80585330 92097520 115121900 128936528 140148400 161170660 201463325 230243800 322341320 402926650 460487600 644682640 805853300 1611706600 3223413200