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22133033010 = 23251160137199
BaseRepresentation
bin10100100111001110…
…110100100000110010
32010010111012120110100
4110213032310200302
5330312024024020
614100123413230
71412322451014
oct244716644062
963114176410
1022133033010
11942857a320
124358384216
13211959014a
1410dd6d01b4
1589815aa90
hex5273b4832

22133033010 has 96 divisors (see below), whose sum is σ = 62883475200. Its totient is φ = 5356512000.

The previous prime is 22133032981. The next prime is 22133033029. The reversal of 22133033010 is 1033033122.

22133033010 is a `hidden beast` number, since 2 + 2 + 1 + 330 + 330 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576391 + ... + 613589.

It is an arithmetic number, because the mean of its divisors is an integer number (655036200).

Almost surely, 222133033010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441737600).

22133033010 is an abundant number, since it is smaller than the sum of its proper divisors (40750442190).

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

22133033010 is a wasteful number, since it uses less digits than its factorization.

22133033010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37824 (or 37821 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22133033010 its reverse (1033033122), we get a palindrome (23166066132).

The spelling of 22133033010 in words is "twenty-two billion, one hundred thirty-three million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 601 990 1202 1803 3005 3606 5409 6010 6611 9015 10818 13222 18030 19833 27045 33055 37199 39666 54090 59499 66110 74398 99165 111597 118998 185995 198330 223194 297495 334791 371990 409189 557985 594990 669582 818378 1115970 1227567 1673955 2045945 2455134 3347910 3682701 4091890 6137835 7365402 12275670 18413505 22356599 36827010 44713198 67069797 111782995 134139594 201209391 223565990 245922589 335348985 402418782 491845178 670697970 737767767 1006046955 1229612945 1475535534 2012093910 2213303301 2459225890 3688838835 4426606602 7377677670 11066516505 22133033010