Search a number
-
+
2155737132 = 22331011071847
BaseRepresentation
bin1000000001111101…
…1111000000101100
312120020101210102000
42000133133000230
513403332042012
6553524532300
7104264314623
oct20037370054
95506353360
102155737132
11a0694823a
12501b51090
13284804703
141664386ba
15c93c6ddc
hex807df02c

2155737132 has 96 divisors (see below), whose sum is σ = 5700119040. Its totient is φ = 704433600.

The previous prime is 2155737119. The next prime is 2155737149. The reversal of 2155737132 is 2317375512.

It is a happy number.

2155737132 is a `hidden beast` number, since 2 + 1 + 557 + 3 + 71 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1166233 + ... + 1168079.

It is an arithmetic number, because the mean of its divisors is an integer number (59376240).

Almost surely, 22155737132 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 2155737132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850059520).

2155737132 is an abundant number, since it is smaller than the sum of its proper divisors (3544381908).

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

2155737132 is a wasteful number, since it uses less digits than its factorization.

2155737132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 2155737132 is about 46429.9163471140. The cubic root of 2155737132 is about 1291.8098770680.

The spelling of 2155737132 in words is "two billion, one hundred fifty-five million, seven hundred thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 107 108 202 214 303 321 404 428 606 642 909 963 1212 1284 1818 1847 1926 2727 2889 3636 3694 3852 5454 5541 5778 7388 10807 10908 11082 11556 16623 21614 22164 32421 33246 43228 49869 64842 66492 97263 99738 129684 186547 194526 197629 199476 291789 373094 389052 395258 559641 583578 592887 746188 790516 1119282 1167156 1185774 1678923 1778661 2238564 2371548 3357846 3557322 5036769 5335983 6715692 7114644 10073538 10671966 19960529 20147076 21343932 39921058 59881587 79842116 119763174 179644761 239526348 359289522 538934283 718579044 1077868566 2155737132