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2201561420 = 2253741149487
BaseRepresentation
bin1000001100111001…
…0010100101001100
312200102121220111212
42003032102211030
514002044431140
61002243033552
7105361651262
oct20316224514
95612556455
102201561420
11a2a7a6753
1251536b8b8
1329115a286
1416c566432
15cd429765
hex8339294c

2201561420 has 96 divisors (see below), whose sum is σ = 4906742400. Its totient is φ = 828610560.

The previous prime is 2201561413. The next prime is 2201561423. The reversal of 2201561420 is 241651022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2201561423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520417 + ... + 4520903.

It is an arithmetic number, because the mean of its divisors is an integer number (51111900).

Almost surely, 22201561420 is an apocalyptic number.

2201561420 is a gapful number since it is divisible by the number (20) 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 2201561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453371200).

2201561420 is an abundant number, since it is smaller than the sum of its proper divisors (2705180980).

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

2201561420 is a wasteful number, since it uses less digits than its factorization.

2201561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2201561420 is about 46920.7994390547. The cubic root of 2201561420 is about 1300.8990664346.

The spelling of 2201561420 in words is "two billion, two hundred one million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 149 164 185 205 298 370 410 487 596 740 745 820 974 1490 1517 1948 2435 2980 3034 4870 5513 6068 6109 7585 9740 11026 12218 15170 18019 19967 22052 24436 27565 30340 30545 36038 39934 55130 61090 72076 72563 79868 90095 99835 110260 122180 145126 180190 199670 226033 290252 360380 362815 399340 452066 725630 738779 904132 1130165 1451260 1477558 2260330 2684831 2955116 2975083 3693895 4520660 5369662 5950166 7387790 10739324 11900332 13424155 14775580 14875415 26848310 29750830 53696620 59501660 110078071 220156142 440312284 550390355 1100780710 2201561420