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222121789128 = 23326728292
BaseRepresentation
bin1100111011011101111…
…1011000011011001000
3210020100001100000020200
43032313133120123020
512114401134223003
6250012532452200
722022246025021
oct3166737303310
9706301300220
10222121789128
1186223a60858
123707017a060
1317c3b473525
14aa720c5c48
155ba060d6a3
hex33b77d86c8

222121789128 has 108 divisors (see below), whose sum is σ = 611430211665. Its totient is φ = 72847532736.

The previous prime is 222121789079. The next prime is 222121789147. The reversal of 222121789128 is 821987121222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 220841723844 + 1280065284 = 469938^2 + 35778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333258.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267939018 + ... + 267939846.

Almost surely, 2222121789128 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 222121789128

222121789128 is an abundant number, since it is smaller than the sum of its proper divisors (389308422537).

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

222121789128 is an frugal number, since it uses more digits than its factorization.

222121789128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 901 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 222121789128 in words is "two hundred twenty-two billion, one hundred twenty-one million, seven hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 829 1206 1608 1658 2412 2487 3316 4489 4824 4974 6632 7461 8978 9948 13467 14922 17956 19896 26934 29844 35912 40401 53868 55543 59688 80802 107736 111086 161604 166629 222172 323208 333258 444344 499887 666516 687241 999774 1333032 1374482 1999548 2061723 2748964 3721381 3999096 4123446 5497928 6185169 7442762 8246892 11164143 12370338 14885524 16493784 22328286 24740676 29771048 33492429 44656572 46045147 49481352 66984858 89313144 92090294 133969716 138135441 184180588 267939432 276270882 368361176 414406323 552541764 828812646 1105083528 1657625292 3085024849 3315250584 6170049698 9255074547 12340099396 18510149094 24680198792 27765223641 37020298188 55530447282 74040596376 111060894564 222121789128