Search a number
-
+
225693465280 = 26523131234083
BaseRepresentation
bin1101001000110001100…
…0001111101011000000
3210120112222001221211121
43102030120033223000
512144210011342110
6251403202122024
722206615542023
oct3221430175300
9716488057747
10225693465280
1187797093a28
12378a8350314
131838a41757a
14acd05c11ba
155d0de77cda
hex348c60fac0

225693465280 has 112 divisors (see below), whose sum is σ = 565082521344. Its totient is φ = 85692738560.

The previous prime is 225693465241. The next prime is 225693465287. The reversal of 225693465280 is 82564396522.

It is not an unprimeable number, because it can be changed into a prime (225693465287) 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, 847119 + ... + 1081201.

Almost surely, 2225693465280 is an apocalyptic number.

225693465280 is a gapful number since it is divisible by the number (20) 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 225693465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282541260672).

225693465280 is an abundant number, since it is smaller than the sum of its proper divisors (339389056064).

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

225693465280 is a wasteful number, since it uses less digits than its factorization.

225693465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234254 (or 234244 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 225693465280 in words is "two hundred twenty-five billion, six hundred ninety-three million, four hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 131 160 184 230 262 320 368 460 524 655 736 920 1048 1310 1472 1840 2096 2620 3013 3680 4192 5240 6026 7360 8384 10480 12052 15065 20960 24104 30130 41920 48208 60260 96416 120520 192832 234083 241040 468166 482080 936332 964160 1170415 1872664 2340830 3745328 4681660 5383909 7490656 9363320 10767818 14981312 18726640 21535636 26919545 30664873 37453280 43071272 53839090 61329746 74906560 86142544 107678180 122659492 153324365 172285088 215356360 245318984 306648730 344570176 430712720 490637968 613297460 705292079 861425440 981275936 1226594920 1410584158 1722850880 1962551872 2453189840 2821168316 3526460395 4906379680 5642336632 7052920790 9812759360 11284673264 14105841580 22569346528 28211683160 45138693056 56423366320 112846732640 225693465280