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2246430720 = 2123536563
BaseRepresentation
bin1000010111100101…
…1101000000000000
312210120001111121210
42011321131000000
514100041240340
61010524450120
7106445226462
oct20571350000
95716044553
102246430720
11a53062716
125283a9940
1329a53a261
141744c6132
15d233e180
hex85e5d000

2246430720 has 104 divisors (see below), whose sum is σ = 7187897376. Its totient is φ = 599031808.

The previous prime is 2246430709. The next prime is 2246430731. The reversal of 2246430720 is 270346422.

It is an interprime number because it is at equal distance from previous prime (2246430709) and next prime (2246430731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43159 + ... + 79721.

Almost surely, 22246430720 is an apocalyptic number.

2246430720 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 2246430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593948688).

2246430720 is an abundant number, since it is smaller than the sum of its proper divisors (4941466656).

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

2246430720 is an equidigital number, since it uses as much as digits as its factorization.

2246430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36595 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2246430720 is about 47396.5264550051. The cubic root of 2246430720 is about 1309.6774296585.

The spelling of 2246430720 in words is "two billion, two hundred forty-six million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 36563 61440 73126 109689 146252 182815 219378 292504 365630 438756 548445 585008 731260 877512 1096890 1170016 1462520 1755024 2193780 2340032 2925040 3510048 4387560 4680064 5850080 7020096 8775120 9360128 11700160 14040192 17550240 18720256 23400320 28080384 35100480 37440512 46800640 56160768 70200960 74881024 93601280 112321536 140401920 149762048 187202560 224643072 280803840 374405120 449286144 561607680 748810240 1123215360 2246430720