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230122221032 = 2311101190713577
BaseRepresentation
bin1101011001010001011…
…0100110110111101000
3210222222121120001121102
43112110112212313220
512232242242033112
6253414445500532
722424433414254
oct3262426466750
9728877501542
10230122221032
1189659aa3750
1238723571748
1318914b080c2
14b1d0863264
155ebcb91bc2
hex35945a6de8

230122221032 has 64 divisors (see below), whose sum is σ = 475649288640. Its totient is φ = 103503424000.

The previous prime is 230122221031. The next prime is 230122221073.

It is a happy number.

230122221032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2301222210322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230122220995 and 230122221013.

It is not an unprimeable number, because it can be changed into a prime (230122221031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16942628 + ... + 16956204.

It is an arithmetic number, because the mean of its divisors is an integer number (7432020135).

Almost surely, 2230122221032 is an apocalyptic number.

230122221032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230122221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237824644320).

230122221032 is an abundant number, since it is smaller than the sum of its proper divisors (245527067608).

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

230122221032 is a wasteful number, since it uses less digits than its factorization.

230122221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15602 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 230122 and 221032, that added together give a palindrome (451154).

The spelling of 230122221032 in words is "two hundred thirty billion, one hundred twenty-two million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 1907 2222 3814 4444 7628 8888 13577 15256 20977 27154 41954 54308 83908 108616 149347 167816 192607 298694 385214 597388 770428 1194776 1371277 1540856 2118677 2742554 4237354 5485108 8474708 10970216 15084047 16949416 25891339 30168094 51782678 60336188 103565356 120672376 207130712 284804729 569609458 1139218916 2278437832 2615025239 5230050478 10460100956 20920201912 28765277629 57530555258 115061110516 230122221032