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2229408240 = 243582311287
BaseRepresentation
bin1000010011100010…
…0001000111110000
312202101000200011120
42010320201013300
514031212030430
61005115542240
7106150441323
oct20470410760
95671020146
102229408240
11a44496454
1252275a980
13296b5a197
141721347ba
15d0aca610
hex84e211f0

2229408240 has 80 divisors (see below), whose sum is σ = 6920176128. Its totient is φ = 593733888.

The previous prime is 2229408151. The next prime is 2229408257. The reversal of 2229408240 is 428049222.

It is a happy number.

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

It is a super-2 number, since 2×22294082402 = 9940522201159795200, which contains 22 as substring.

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, 191877 + ... + 203163.

Almost surely, 22229408240 is an apocalyptic number.

2229408240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2229408240 is an abundant number, since it is smaller than the sum of its proper divisors (4690767888).

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

2229408240 is a wasteful number, since it uses less digits than its factorization.

2229408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2229408240 is about 47216.6097893527. The cubic root of 2229408240 is about 1306.3609823365.

The spelling of 2229408240 in words is "two billion, two hundred twenty-nine million, four hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 823 1646 2469 3292 4115 4938 6584 8230 9876 11287 12345 13168 16460 19752 22574 24690 32920 33861 39504 45148 49380 56435 65840 67722 90296 98760 112870 135444 169305 180592 197520 225740 270888 338610 451480 541776 677220 902960 1354440 2708880 9289201 18578402 27867603 37156804 46446005 55735206 74313608 92892010 111470412 139338015 148627216 185784020 222940824 278676030 371568040 445881648 557352060 743136080 1114704120 2229408240