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4222012100 = 22521011313191
BaseRepresentation
bin1111101110100110…
…1100101011000100
3101220020110102210112
43323221230223010
532121313341400
61534540212152
7206424340115
oct37351545304
911806412715
104222012100
1118772411a9
12999b3a058
13523914c17
142c0a2620c
1519a9cb835
hexfba6cac4

4222012100 has 72 divisors (see below), whose sum is σ = 9326028096. Its totient is φ = 1658800000.

The previous prime is 4222012051. The next prime is 4222012111. The reversal of 4222012100 is 12102224.

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, 1321505 + ... + 1324695.

It is an arithmetic number, because the mean of its divisors is an integer number (129528168).

Almost surely, 24222012100 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 4222012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663014048).

4222012100 is an abundant number, since it is smaller than the sum of its proper divisors (5104015996).

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

4222012100 is a wasteful number, since it uses less digits than its factorization.

4222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4222012100 is about 64977.0120888919. The cubic root of 4222012100 is about 1616.2423831977.

Adding to 4222012100 its reverse (12102224), we get a palindrome (4234114324).

The spelling of 4222012100 in words is "four billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 131 202 262 404 505 524 655 1010 1310 2020 2525 2620 3191 3275 5050 6382 6550 10100 12764 13100 13231 15955 26462 31910 52924 63820 66155 79775 132310 159550 264620 319100 322291 330775 418021 644582 661550 836042 1289164 1323100 1611455 1672084 2090105 3222910 4180210 6445820 8057275 8360420 10450525 16114550 20901050 32229100 41802100 42220121 84440242 168880484 211100605 422201210 844402420 1055503025 2111006050 4222012100