Search a number
-
+
2283155567352 = 2332113192992651
BaseRepresentation
bin100001001110010110101…
…011010011001011111000
322002021020001000001002100
4201032112223103023320
5244401400311123402
64504511151303400
7323644503054342
oct41162653231370
98067201001070
102283155567352
1180030a883570
1230a5a821ab60
131373ba69a86a
147c71084a292
153e5cb99371c
hex21396ad32f8

2283155567352 has 96 divisors (see below), whose sum is σ = 6963289781760. Its totient is φ = 669547080000.

The previous prime is 2283155567333. The next prime is 2283155567353. The reversal of 2283155567352 is 2537655513822.

It is a happy number.

2283155567352 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 15 + 556 + 73 + 5 + 2 = 666.

2283155567352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283155567353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46471774 + ... + 46520877.

It is an arithmetic number, because the mean of its divisors is an integer number (72534268560).

Almost surely, 22283155567352 is an apocalyptic number.

2283155567352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2283155567352 is an abundant number, since it is smaller than the sum of its proper divisors (4680134214408).

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

2283155567352 is a wasteful number, since it uses less digits than its factorization.

2283155567352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92992705 (or 92992698 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 2283155567352 in words is "two trillion, two hundred eighty-three billion, one hundred fifty-five million, five hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 92992651 185985302 278977953 371970604 557955906 743941208 836933859 1022919161 1115911812 1673867718 2045838322 2231823624 2882772181 3068757483 3347735436 4091676644 5765544362 6137514966 6695470872 8183353288 8648316543 9206272449 11531088724 12275029932 17296633086 18412544898 23062177448 24550059864 25944949629 31710493991 34593266172 36825089796 51889899258 63420987982 69186532344 73650179592 95131481973 103779798516 126841975964 190262963946 207559597032 253683951928 285394445919 380525927892 570788891838 761051855784 1141577783676 2283155567352