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2232260220 = 2235195093847
BaseRepresentation
bin1000010100001101…
…1001011001111100
312202120101120100110
42011003121121330
514032424311340
61005301030020
7106213620201
oct20503313174
95676346313
102232260220
11a46064163
125236b5310
13297618348
14172677ca8
15d0e90680
hex850d967c

2232260220 has 96 divisors (see below), whose sum is σ = 6593932800. Its totient is φ = 562685184.

The previous prime is 2232260207. The next prime is 2232260231. The reversal of 2232260220 is 220622322.

It is a super-3 number, since 3×22322602203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578337 + ... + 582183.

It is an arithmetic number, because the mean of its divisors is an integer number (68686800).

Almost surely, 22232260220 is an apocalyptic number.

2232260220 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 2232260220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296966400).

2232260220 is an abundant number, since it is smaller than the sum of its proper divisors (4361672580).

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

2232260220 is a wasteful number, since it uses less digits than its factorization.

2232260220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2232260220 is about 47246.8011615601. The cubic root of 2232260220 is about 1306.9178009193.

Adding to 2232260220 its reverse (220622322), we get a palindrome (2452882542).

The spelling of 2232260220 in words is "two billion, two hundred thirty-two million, two hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 509 570 1018 1140 1527 2036 2545 3054 3847 5090 6108 7635 7694 9671 10180 11541 15270 15388 19235 19342 23082 29013 30540 38470 38684 46164 48355 57705 58026 73093 76940 96710 115410 116052 145065 146186 193420 219279 230820 290130 292372 365465 438558 580260 730930 877116 1096395 1461860 1958123 2192790 3916246 4385580 5874369 7832492 9790615 11748738 19581230 23497476 29371845 37204337 39162460 58743690 74408674 111613011 117487380 148817348 186021685 223226022 372043370 446452044 558065055 744086740 1116130110 2232260220