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4222401520 = 245173783911
BaseRepresentation
bin1111101110101100…
…1011101111110000
3101220021012012222111
43323223023233300
532121413322040
61534552415104
7206430551341
oct37353135760
911807165874
104222401520
111877487837
1299a0a7494
13523a2024c
142c0ac80c8
1519aa56dea
hexfbacbbf0

4222401520 has 80 divisors (see below), whose sum is σ = 10675620288. Its totient is φ = 1546629120.

The previous prime is 4222401511. The next prime is 4222401539. The reversal of 4222401520 is 251042224.

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

It is a junction number, because it is equal to n+sod(n) for n = 4222401491 and 4222401500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8365 + ... + 92275.

Almost surely, 24222401520 is an apocalyptic number.

4222401520 is a gapful number since it is divisible by the number (40) 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 4222401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337810144).

4222401520 is an abundant number, since it is smaller than the sum of its proper divisors (6453218768).

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

4222401520 is a wasteful number, since it uses less digits than its factorization.

4222401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83978 (or 83972 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4222401520 is about 64980.0086180357. The cubic root of 4222401520 is about 1616.2920733884.

Adding to 4222401520 its reverse (251042224), we get a palindrome (4473443744).

The spelling of 4222401520 in words is "four billion, two hundred twenty-two million, four hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 629 680 740 1258 1360 1480 2516 2960 3145 5032 6290 10064 12580 25160 50320 83911 167822 335644 419555 671288 839110 1342576 1426487 1678220 2852974 3104707 3356440 5705948 6209414 6712880 7132435 11411896 12418828 14264870 15523535 22823792 24837656 28529740 31047070 49675312 52780019 57059480 62094140 105560038 114118960 124188280 211120076 248376560 263900095 422240152 527800190 844480304 1055600380 2111200760 4222401520