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3422214200 = 235271401601
BaseRepresentation
bin1100101111111010…
…1101100000111000
322211111111111100002
43023332231200320
524002041323300
61323325532132
7150543224606
oct31376554070
98744444302
103422214200
1114a68291a9
127b6114048
13427003022
14246710876
151506945d5
hexcbfad838

3422214200 has 96 divisors (see below), whose sum is σ = 8102293920. Its totient is φ = 1344000000.

The previous prime is 3422214197. The next prime is 3422214221. The reversal of 3422214200 is 24122243.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5693900 + ... + 5694500.

It is an arithmetic number, because the mean of its divisors is an integer number (84398895).

Almost surely, 23422214200 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 3422214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051146960).

3422214200 is an abundant number, since it is smaller than the sum of its proper divisors (4680079720).

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

3422214200 is a wasteful number, since it uses less digits than its factorization.

3422214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3422214200 is about 58499.6940162938. The cubic root of 3422214200 is about 1506.9623302689.

Adding to 3422214200 its reverse (24122243), we get a palindrome (3446336443).

The spelling of 3422214200 in words is "three billion, four hundred twenty-two million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 401 568 601 710 802 1202 1420 1604 1775 2005 2404 2840 3005 3208 3550 4010 4808 6010 7100 8020 10025 12020 14200 15025 16040 20050 24040 28471 30050 40100 42671 56942 60100 80200 85342 113884 120200 142355 170684 213355 227768 241001 284710 341368 426710 482002 569420 711775 853420 964004 1066775 1138840 1205005 1423550 1706840 1928008 2133550 2410010 2847100 4267100 4820020 5694200 6025025 8534200 9640040 12050050 17111071 24100100 34222142 48200200 68444284 85555355 136888568 171110710 342221420 427776775 684442840 855553550 1711107100 3422214200