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22195661136 = 2431128274621
BaseRepresentation
bin10100101010111101…
…101110100101010000
32010021212001102002120
4110222331232211100
5330424042124021
614110242014240
71414013002215
oct245275564520
963255042076
1022195661136
11945a965800
124375347380
13212954a3cc
141107b53b0c
1589d8cc2c6
hex52af6e950

22195661136 has 120 divisors (see below), whose sum is σ = 63115147872. Its totient is φ = 6716371200.

The previous prime is 22195661113. The next prime is 22195661197. The reversal of 22195661136 is 63116659122.

It is a congruent number.

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, 4800906 + ... + 4805526.

Almost surely, 222195661136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22195661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557573936).

22195661136 is an abundant number, since it is smaller than the sum of its proper divisors (40919486736).

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

22195661136 is a wasteful number, since it uses less digits than its factorization.

22195661136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5464 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The spelling of 22195661136 in words is "twenty-two billion, one hundred ninety-five million, six hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 827 968 1452 1654 1936 2481 2904 3308 4621 4962 5808 6616 9097 9242 9924 13232 13863 18194 18484 19848 27291 27726 36388 36968 39696 50831 54582 55452 72776 73936 100067 101662 109164 110904 145552 152493 200134 203324 218328 221808 300201 304986 400268 406648 436656 559141 600402 609972 800536 813296 1118282 1200804 1219944 1601072 1677423 2236564 2401608 2439888 3354846 3821567 4473128 4803216 6709692 7643134 8946256 11464701 13419384 15286268 22929402 26838768 30572536 42037237 45858804 61145072 84074474 91717608 126111711 168148948 183435216 252223422 336297896 462409607 504446844 672595792 924819214 1008893688 1387228821 1849638428 2017787376 2774457642 3699276856 5548915284 7398553712 11097830568 22195661136