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22133021300 = 225213137151823
BaseRepresentation
bin10100100111001110…
…110001101001110100
32010010111011222101122
4110213032301221310
5330312023140200
614100123243112
71412322401615
oct244716615164
963114158348
1022133021300
119428571545
124358379498
132119587a10
1410dd6c9c0c
15898157385
hex5273b1a74

22133021300 has 144 divisors (see below), whose sum is σ = 52509472512. Its totient is φ = 8049024000.

The previous prime is 22133021297. The next prime is 22133021353. The reversal of 22133021300 is 312033122.

It is a congruent number.

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, 26892689 + ... + 26893511.

Almost surely, 222133021300 is an apocalyptic number.

22133021300 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 22133021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254736256).

22133021300 is an abundant number, since it is smaller than the sum of its proper divisors (30376451212).

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

22133021300 is a wasteful number, since it uses less digits than its factorization.

22133021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22133021300 its reverse (312033122), we get a palindrome (22445054422).

The spelling of 22133021300 in words is "twenty-two billion, one hundred thirty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 151 260 274 302 325 548 604 650 685 755 823 1300 1370 1510 1646 1781 1963 2740 3020 3292 3425 3562 3775 3926 4115 6850 7124 7550 7852 8230 8905 9815 10699 13700 15100 16460 17810 19630 20575 20687 21398 35620 39260 41150 41374 42796 44525 49075 53495 82300 82748 89050 98150 103435 106990 112751 124273 178100 196300 206870 213980 225502 248546 267475 268931 413740 451004 497092 517175 534950 537862 563755 621365 1034350 1069900 1075724 1127510 1242730 1344655 1465763 1615549 2068700 2255020 2485460 2689310 2818775 2931526 3106825 3231098 5378620 5637550 5863052 6213650 6462196 6723275 7328815 8077745 11275100 12427300 13446550 14657630 16155490 17025401 26893100 29315260 32310980 34050802 36644075 40388725 68101604 73288150 80777450 85127005 146576300 161554900 170254010 221330213 340508020 425635025 442660426 851270050 885320852 1106651065 1702540100 2213302130 4426604260 5533255325 11066510650 22133021300