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2235105132 = 22313231374547
BaseRepresentation
bin1000010100111000…
…1111111101101100
312202202202002211120
42011032033331230
514034141331012
61005442020540
7106250036331
oct20516177554
95682662746
102235105132
11a47727627
12524647750
132980a3220
14172bb8988
15d135358c
hex8538ff6c

2235105132 has 96 divisors (see below), whose sum is σ = 5904686592. Its totient is φ = 652878336.

The previous prime is 2235105113. The next prime is 2235105133. The reversal of 2235105132 is 2315015322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2235105133) 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, 489283 + ... + 493829.

It is an arithmetic number, because the mean of its divisors is an integer number (61507152).

Almost surely, 22235105132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952343296).

2235105132 is an abundant number, since it is smaller than the sum of its proper divisors (3669581460).

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

2235105132 is a wasteful number, since it uses less digits than its factorization.

2235105132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2235105132 is about 47276.8985023341. The cubic root of 2235105132 is about 1307.4727672441.

The spelling of 2235105132 in words is "two billion, two hundred thirty-five million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 137 138 156 274 276 299 411 548 598 822 897 1196 1644 1781 1794 3151 3562 3588 4547 5343 6302 7124 9094 9453 10686 12604 13641 18188 18906 21372 27282 37812 40963 54564 59111 81926 104581 118222 122889 163852 177333 209162 236444 245778 313743 354666 418324 491556 622939 627486 709332 1245878 1254972 1359553 1868817 2491756 2719106 3737634 4078659 5438212 7475268 8098207 8157318 14327597 16196414 16314636 24294621 28655194 32392828 42982791 48589242 57310388 85965582 97178484 171931164 186258761 372517522 558776283 745035044 1117552566 2235105132