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230212202212032 = 2633732405996933
BaseRepresentation
bin110100010110000001110100…
…100010010010101011000000
31010012010001221012020002122220
4310112001310202102223000
5220133244042231241112
62133342005314331040
766330165660034155
oct6426016442225300
91105101835202586
10230212202212032
11673974a0590057
12219a0800889a80
139b5bbc0a31bb1
1440bc4898aa22c
151b935336a298c
hexd16074892ac0

230212202212032 has 56 divisors (see below), whose sum is σ = 625565364813936. Its totient is φ = 74663416931328.

The previous prime is 230212202211991. The next prime is 230212202212063.

230212202212032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2302122022120322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230212202211993 and 230212202212011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16202991363 + ... + 16203005570.

Almost surely, 2230212202212032 is an apocalyptic number.

It is an amenable number.

230212202212032 is an abundant number, since it is smaller than the sum of its proper divisors (395353162601904).

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

230212202212032 is a wasteful number, since it uses less digits than its factorization.

230212202212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32405996985 (or 32405996975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 23021220 and 2212032, that added together give a palindrome (25233252).

The spelling of 230212202212032 in words is "two hundred thirty trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 32405996933 64811993866 97217990799 129623987732 194435981598 259247975464 388871963196 518495950928 777743926392 1036991901856 1199021886521 1555487852784 2073983803712 2398043773042 3110975705568 3597065659563 4796087546084 6221951411136 7194131319126 9592175092168 14388262638252 19184350184336 28776525276504 38368700368672 57553050553008 76737400737344 115106101106016 230212202212032