Search a number
-
+
31223508400 = 2452753210401
BaseRepresentation
bin11101000101000100…
…001110110110110000
32222121000112120101001
4131011010032312300
51002421204232100
622202140051344
72153514304510
oct350504166660
988530476331
1031223508400
1112272946aa7
126074833b54
132c379ca876
141722b37840
15c2b259d6a
hex74510edb0

31223508400 has 120 divisors (see below), whose sum is σ = 87348811104. Its totient is φ = 10503168000.

The previous prime is 31223508391. The next prime is 31223508403. The reversal of 31223508400 is 480532213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (31223508403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43200 + ... + 253600.

Almost surely, 231223508400 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 31223508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43674405552).

31223508400 is an abundant number, since it is smaller than the sum of its proper divisors (56125302704).

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

31223508400 is a wasteful number, since it uses less digits than its factorization.

31223508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210479 (or 210468 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 31223508400 in words is "thirty-one billion, two hundred twenty-three million, five hundred eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 140 175 200 212 265 280 350 371 400 424 530 560 700 742 848 1060 1325 1400 1484 1855 2120 2650 2800 2968 3710 4240 5300 5936 7420 9275 10600 14840 18550 21200 29680 37100 74200 148400 210401 420802 841604 1052005 1472807 1683208 2104010 2945614 3366416 4208020 5260025 5891228 7364035 8416040 10520050 11151253 11782456 14728070 16832080 21040100 22302506 23564912 29456140 36820175 42080200 44605012 55756265 58912280 73640350 78058771 84160400 89210024 111512530 117824560 147280700 156117542 178420048 223025060 278781325 294561400 312235084 390293855 446050120 557562650 589122800 624470168 780587710 892100240 1115125300 1248940336 1561175420 1951469275 2230250600 3122350840 3902938550 4460501200 6244701680 7805877100 15611754200 31223508400