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2210223132 = 2233137919927
BaseRepresentation
bin1000001110111101…
…0101010000011100
312201000220222011000
42003233111100130
514011304120012
61003152430300
7105525405135
oct20357252034
95630828130
102210223132
11a34682397
12518248390
13292ba0950
1416d77cc8c
15ce08addc
hex83bd541c

2210223132 has 96 divisors (see below), whose sum is σ = 6249420800. Its totient is φ = 671426496.

The previous prime is 2210223107. The next prime is 2210223133. The reversal of 2210223132 is 2313220122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210223133) 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, 100953 + ... + 120879.

Almost surely, 22210223132 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 2210223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124710400).

2210223132 is an abundant number, since it is smaller than the sum of its proper divisors (4039197668).

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

2210223132 is a wasteful number, since it uses less digits than its factorization.

2210223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20032 (or 20024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2210223132 is about 47013.0102418469. The cubic root of 2210223132 is about 1302.6028977448.

Adding to 2210223132 its reverse (2313220122), we get a palindrome (4523443254).

The spelling of 2210223132 in words is "two billion, two hundred ten million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 468 474 702 711 948 1027 1404 1422 2054 2133 2844 3081 4108 4266 6162 8532 9243 12324 18486 19927 27729 36972 39854 55458 59781 79708 110916 119562 179343 239124 259051 358686 518102 538029 717372 777153 1036204 1076058 1554306 1574233 2152116 2331459 3108612 3148466 4662918 4722699 6296932 6994377 9325836 9445398 13988754 14168097 18890796 20465029 27977508 28336194 40930058 42504291 56672388 61395087 81860116 85008582 122790174 170017164 184185261 245580348 368370522 552555783 736741044 1105111566 2210223132