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22234071000 = 2335319937243
BaseRepresentation
bin10100101101010000…
…001111111111011000
32010101112022211112010
4110231100033333120
5331013410233000
614114133145520
71414660325301
oct245520177730
963345284463
1022234071000
11947a60a699
12438618b2a0
1321344a823b
14110ccb17a8
158a1e67d50
hex52d40ffd8

22234071000 has 128 divisors (see below), whose sum is σ = 69720768000. Its totient is φ = 5899132800.

The previous prime is 22234070983. The next prime is 22234071053. The reversal of 22234071000 is 17043222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578379 + ... + 615621.

It is an arithmetic number, because the mean of its divisors is an integer number (544693500).

Almost surely, 222234071000 is an apocalyptic number.

22234071000 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 22234071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860384000).

22234071000 is an abundant number, since it is smaller than the sum of its proper divisors (47486697000).

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

22234071000 is a wasteful number, since it uses less digits than its factorization.

22234071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37466 (or 37452 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 22234071000 in words is "twenty-two billion, two hundred thirty-four million, seventy-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 199 200 250 300 375 398 500 597 600 750 796 995 1000 1194 1500 1592 1990 2388 2985 3000 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 24875 29850 37243 39800 49750 59700 74486 74625 99500 111729 119400 148972 149250 186215 199000 223458 297944 298500 372430 446916 558645 597000 744860 893832 931075 1117290 1489720 1862150 2234580 2793225 3724300 4469160 4655375 5586450 7411357 7448600 9310750 11172900 13966125 14822714 18621500 22234071 22345800 27932250 29645428 37056785 37243000 44468142 55864500 59290856 74113570 88936284 111170355 111729000 148227140 177872568 185283925 222340710 296454280 370567850 444681420 555851775 741135700 889362840 926419625 1111703550 1482271400 1852839250 2223407100 2779258875 3705678500 4446814200 5558517750 7411357000 11117035500 22234071000