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10022033220 = 2235437949171
BaseRepresentation
bin10010101010101110…
…00001011101000100
3221212110020001000120
421111113001131010
5131011120030340
64334250541540
7503232606513
oct112527013504
927773201016
1010022033220
1142831a3991
121b384378b0
13c39433194
146b105a67a
153d9cb14d0
hex2555c1744

10022033220 has 96 divisors (see below), whose sum is σ = 29078353920. Its totient is φ = 2577294720.

The previous prime is 10022033213. The next prime is 10022033233. The reversal of 10022033220 is 2233022001.

It is a super-2 number, since 2×100220332202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10022033220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179235 + ... + 228405.

It is an arithmetic number, because the mean of its divisors is an integer number (302899520).

Almost surely, 210022033220 is an apocalyptic number.

10022033220 is a gapful number since it is divisible by the number (10) 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 10022033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539176960).

10022033220 is an abundant number, since it is smaller than the sum of its proper divisors (19056320700).

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

10022033220 is a wasteful number, since it uses less digits than its factorization.

10022033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49305 (or 49303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10022033220 its reverse (2233022001), we get a palindrome (12255055221).

The spelling of 10022033220 in words is "ten billion, twenty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 79 86 129 158 172 215 237 258 316 395 430 474 516 645 790 860 948 1185 1290 1580 2370 2580 3397 4740 6794 10191 13588 16985 20382 33970 40764 49171 50955 67940 98342 101910 147513 196684 203820 245855 295026 491710 590052 737565 983420 1475130 2114353 2950260 3884509 4228706 6343059 7769018 8457412 10571765 11653527 12686118 15538036 19422545 21143530 23307054 25372236 31715295 38845090 42287060 46614108 58267635 63430590 77690180 116535270 126861180 167033887 233070540 334067774 501101661 668135548 835169435 1002203322 1670338870 2004406644 2505508305 3340677740 5011016610 10022033220