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2242306260 = 2233531133949
BaseRepresentation
bin1000010110100110…
…1110000011010100
312210021021221221000
42011221232003110
514043012300020
61010300223300
7106365201015
oct20551560324
95707257830
102242306260
11a507a5977
12526b3ab30
13299724b4c
14173b3100c
15d1cc7090
hex85a6e0d4

2242306260 has 96 divisors (see below), whose sum is σ = 7201152000. Its totient is φ = 578655360.

The previous prime is 2242306249. The next prime is 2242306267. The reversal of 2242306260 is 626032422.

2242306260 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 30 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242306267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50235 + ... + 83714.

It is an arithmetic number, because the mean of its divisors is an integer number (75012000).

Almost surely, 22242306260 is an apocalyptic number.

2242306260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242306260 is an abundant number, since it is smaller than the sum of its proper divisors (4958845740).

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

2242306260 is a wasteful number, since it uses less digits than its factorization.

2242306260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133998 (or 133990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2242306260 is about 47352.9963149113. The cubic root of 2242306260 is about 1308.8754134707.

Adding to 2242306260 its reverse (626032422), we get a palindrome (2868338682).

The spelling of 2242306260 in words is "two billion, two hundred forty-two million, three hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 133949 267898 401847 535796 669745 803694 1205541 1339490 1607388 2009235 2411082 2678980 3616623 4018470 4152419 4822164 6027705 7233246 8036940 8304838 12055410 12457257 14466492 16609676 18083115 20762095 24110820 24914514 36166230 37371771 41524190 49829028 62286285 72332460 74743542 83048380 112115313 124572570 149487084 186858855 224230626 249145140 373717710 448461252 560576565 747435420 1121153130 2242306260