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4002230661 = 31113172191699
BaseRepresentation
bin1110111010001101…
…0011000110000101
3101022220220101100020
43232203103012011
531144032340121
61501045405353
7201115253652
oct35643230605
911286811306
104002230661
111774178150
12938409859
134ba222b30
1429d774c29
151865661c6
hexee8d3185

4002230661 has 96 divisors (see below), whose sum is σ = 7014336000. Its totient is φ = 1995217920.

The previous prime is 4002230657. The next prime is 4002230671. The reversal of 4002230661 is 1660322004.

4002230661 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002230661 - 22 = 4002230657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002230671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2354790 + ... + 2356488.

It is an arithmetic number, because the mean of its divisors is an integer number (73066000).

Almost surely, 24002230661 is an apocalyptic number.

It is an amenable number.

4002230661 is a deficient number, since it is larger than the sum of its proper divisors (3012105339).

4002230661 is a wasteful number, since it uses less digits than its factorization.

4002230661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4002230661 is about 63263.1856690761. The cubic root of 4002230661 is about 1587.6960766015.

Adding to 4002230661 its reverse (1660322004), we get a palindrome (5662552665).

The spelling of 4002230661 in words is "four billion, two million, two hundred thirty thousand, six hundred sixty-one".

Divisors: 1 3 11 13 17 19 33 39 51 57 143 187 209 221 247 289 323 429 561 627 663 741 867 969 1699 2431 2717 3179 3553 3757 4199 5097 5491 7293 8151 9537 10659 11271 12597 16473 18689 22087 28883 32281 41327 46189 56067 60401 66261 71383 86649 96843 123981 138567 181203 214149 242957 317713 355091 375479 419653 491011 548777 728871 785213 953139 1065273 1126437 1258959 1473033 1646331 2355639 4130269 4616183 5401121 6036547 6383143 7134101 9329209 12390807 13848549 16203363 18109641 19149429 21402303 27987627 70214573 78475111 102621299 121279717 210643719 235425333 307863897 363839151 1334076887 4002230661