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87890022 = 23411313743
BaseRepresentation
bin1010011110100…
…01100001100110
320010101021110000
411033101201212
5134444440042
612415442130
72115024063
oct517214146
9203337400
1087890022
1145680090
1225526346
131529373c
14b95bc6a
157ab174c
hex53d1866

87890022 has 160 divisors (see below), whose sum is σ = 233063424. Its totient is φ = 24494400.

The previous prime is 87889961. The next prime is 87890041. The reversal of 87890022 is 22009878.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043933 + ... + 2043975.

Almost surely, 287890022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87890022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116531712).

87890022 is an abundant number, since it is smaller than the sum of its proper divisors (145173402).

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

87890022 is a wasteful number, since it uses less digits than its factorization.

87890022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87890022 is about 9374.9678399448. The cubic root of 87890022 is about 444.6106462617.

The spelling of 87890022 in words is "eighty-seven million, eight hundred ninety thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 37 43 54 62 66 74 81 86 93 99 111 129 162 186 198 222 258 279 297 333 341 387 407 473 558 594 666 682 774 814 837 891 946 999 1023 1147 1161 1221 1333 1419 1591 1674 1782 1998 2046 2294 2322 2442 2511 2666 2838 2997 3069 3182 3441 3483 3663 3999 4257 4773 5022 5994 6138 6882 6966 7326 7998 8514 9207 9546 10323 10989 11997 12617 12771 14319 14663 17501 18414 20646 21978 23994 25234 25542 27621 28638 29326 30969 32967 35002 35991 37851 38313 42957 43989 49321 52503 55242 61938 65934 71982 75702 76626 85914 87978 92907 98642 105006 107973 113553 128871 131967 147963 157509 185814 215946 227106 257742 263934 295926 315018 340659 395901 443889 472527 542531 681318 791802 887778 945054 1021977 1085062 1187703 1331667 1417581 1627593 2043954 2375406 2663334 2835162 3255186 3995001 4882779 7990002 9765558 14648337 29296674 43945011 87890022