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222400040420 = 22540937617229
BaseRepresentation
bin1100111100100000010…
…0110100110111100100
3210021001102220122021002
43033020010310313210
512120433402243140
6250100312412432
722032165103205
oct3171004646744
9707042818232
10222400040420
11863570300a8
12371293a7118
1317c83cc7c6c
14aa9b0375ac
155bb9c73415
hex33c8134de4

222400040420 has 48 divisors (see below), whose sum is σ = 468371257200. Its totient is φ = 88706641920.

The previous prime is 222400040407. The next prime is 222400040431. The reversal of 222400040420 is 24040004222.

It can be written as a sum of positive squares in 8 ways, for example, as 53924270656 + 168475769764 = 232216^2 + 410458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222400040392 and 222400040401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30761366 + ... + 30768594.

It is an arithmetic number, because the mean of its divisors is an integer number (9757734525).

Almost surely, 2222400040420 is an apocalyptic number.

222400040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222400040420 is an abundant number, since it is smaller than the sum of its proper divisors (245971216780).

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

222400040420 is a wasteful number, since it uses less digits than its factorization.

222400040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 222400040420 its reverse (24040004222), we get a palindrome (246440044642).

The spelling of 222400040420 in words is "two hundred twenty-two billion, four hundred million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 3761 4090 7229 7522 8180 14458 15044 18805 28916 36145 37610 72290 75220 144580 1538249 2956661 3076498 5913322 6152996 7691245 11826644 14783305 15382490 27188269 29566610 30764980 54376538 59133220 108753076 135941345 271882690 543765380 11120002021 22240004042 44480008084 55600010105 111200020210 222400040420