Search a number
-
+
901220232 = 233114018513
BaseRepresentation
bin110101101101111…
…000011110001000
32022210210201202010
4311231320132020
53321203021412
6225232135520
731222150143
oct6555703610
92283721663
10901220232
11422796110
122119975a0
13114932c13
148799705a
15541bd33c
hex35b78788

901220232 has 64 divisors (see below), whose sum is σ = 2464292160. Its totient is φ = 272384000.

The previous prime is 901220231. The next prime is 901220237. The reversal of 901220232 is 232022109.

It is a super-2 number, since 2×9012202322 = 1624395813132267648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 901220199 and 901220208.

It is not an unprimeable number, because it can be changed into a prime (901220231) 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, 101608 + ... + 110120.

It is an arithmetic number, because the mean of its divisors is an integer number (38504565).

Almost surely, 2901220232 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 901220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232146080).

901220232 is an abundant number, since it is smaller than the sum of its proper divisors (1563071928).

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

901220232 is a wasteful number, since it uses less digits than its factorization.

901220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 901220232 is about 30020.3303113074. The cubic root of 901220232 is about 965.9255286819.

It can be divided in two parts, 90122023 and 2, that added together give a triangular number (90122025 = T13425).

The spelling of 901220232 in words is "nine hundred one million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401 802 1203 1604 2406 3208 4411 4812 8513 8822 9624 13233 17026 17644 25539 26466 34052 35288 51078 52932 68104 93643 102156 105864 187286 204312 280929 374572 561858 749144 1123716 2247432 3413713 6827426 10241139 13654852 20482278 27309704 37550843 40964556 75101686 81929112 112652529 150203372 225305058 300406744 450610116 901220232