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22980189645 = 3457431311439
BaseRepresentation
bin10101011001101110…
…011101110111001101
32012022112021120220000
4111121232131313031
5334030412032040
614320145114513
71442320250310
oct253156356715
965275246800
1022980189645
119822799676
124554028a39
132222c4416a
141180012977
158e76ea130
hex559b9ddcd

22980189645 has 160 divisors (see below), whose sum is σ = 48575324160. Its totient is φ = 10175518080.

The previous prime is 22980189643. The next prime is 22980189649. The reversal of 22980189645 is 54698108922.

It is a happy number.

It is not a de Polignac number, because 22980189645 - 21 = 22980189643 is a prime.

It is a super-3 number, since 3×229801896453 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22980189591 and 22980189600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22980189641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15968836 + ... + 15970274.

It is an arithmetic number, because the mean of its divisors is an integer number (303595776).

Almost surely, 222980189645 is an apocalyptic number.

It is an amenable number.

22980189645 is an abundant number, since it is smaller than the sum of its proper divisors (25595134515).

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

22980189645 is a wasteful number, since it uses less digits than its factorization.

22980189645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 22980189645 in words is "twenty-two billion, nine hundred eighty million, one hundred eighty-nine thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 81 105 129 131 135 189 215 301 315 387 393 405 567 645 655 903 917 945 1161 1179 1439 1505 1935 1965 2709 2751 2835 3483 3537 4317 4515 4585 5633 5805 5895 7195 8127 8253 10073 10611 12951 13545 13755 16899 17415 17685 21585 24381 24759 28165 30219 38853 39431 40635 41265 50365 50697 53055 61877 64755 74277 84495 90657 116559 118293 121905 123795 151095 152091 185631 188509 194265 197155 253485 271971 309385 354879 371385 433139 453285 456273 556893 565527 582795 591465 760455 815913 928155 942545 1064637 1299417 1319563 1359855 1670679 1696581 1774395 2165695 2281365 2784465 2827635 3193911 3898251 3958689 4079565 5012037 5089743 5323185 6497085 6597815 8105887 8353395 8482905 11694753 11876067 15269229 15969555 19491255 19793445 24317661 25060185 25448715 35084259 35628201 40529435 56741209 58473765 59380335 72952983 76346145 106884603 121588305 170223627 175421295 178141005 218858949 283706045 364764915 510670881 534423015 656576847 851118135 1094294745 1532012643 2553354405 3282884235 4596037929 7660063215 22980189645