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233022422440 = 23517253380333
BaseRepresentation
bin1101100100000100110…
…1111111110110101000
3211021110201210120000101
43121001031333312220
512304212220004230
6255014331115144
722556340624043
oct3310115776650
9737421716011
10233022422440
118a90809aa15
12391b28a2ab4
1318c87919702
14b3c7acbc5a
1560dc5c0aca
hex364137fda8

233022422440 has 96 divisors (see below), whose sum is σ = 567465934680. Its totient is φ = 86070652928.

The previous prime is 233022422419. The next prime is 233022422461. The reversal of 233022422440 is 44224220332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (233022422419) and next prime (233022422461).

It can be written as a sum of positive squares in 12 ways, for example, as 33765532516 + 199256889924 = 183754^2 + 446382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233022422399 and 233022422408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422514 + ... + 802846.

Almost surely, 2233022422440 is an apocalyptic number.

233022422440 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 233022422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283732967340).

233022422440 is an abundant number, since it is smaller than the sum of its proper divisors (334443512240).

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

233022422440 is a wasteful number, since it uses less digits than its factorization.

233022422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380431 (or 380410 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 233022422440 its reverse (44224220332), we get a palindrome (277246642772).

The spelling of 233022422440 in words is "two hundred thirty-three billion, twenty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 289 340 424 530 578 680 901 1060 1156 1445 1802 2120 2312 2890 3604 4505 5780 7208 9010 11560 15317 18020 30634 36040 61268 76585 122536 153170 306340 380333 612680 760666 1521332 1901665 3042664 3803330 6465661 7606660 12931322 15213320 20157649 25862644 32328305 40315298 51725288 64656610 80630596 100788245 109916237 129313220 161261192 201576490 219832474 258626440 342680033 403152980 439664948 549581185 685360066 806305960 879329896 1099162370 1370720132 1713400165 2198324740 2741440264 3426800330 4396649480 5825560561 6853600660 11651121122 13707201320 23302242244 29127802805 46604484488 58255605610 116511211220 233022422440