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32220131004 = 22324337392797
BaseRepresentation
bin11110000000011110…
…000010111010111100
310002011110212020120100
4132000132002322330
51011441323143004
622445101121100
72220305410665
oct360036027274
9102143766510
1032220131004
1112734473346
1262b2559190
133066324699
1417b924636c
15c889c0739
hex780782ebc

32220131004 has 72 divisors (see below), whose sum is σ = 81773116880. Its totient is φ = 10696914432.

The previous prime is 32220130993. The next prime is 32220131023. The reversal of 32220131004 is 40013102223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11518134 + ... + 11520930.

Almost surely, 232220131004 is an apocalyptic number.

It is an amenable number.

32220131004 is an abundant number, since it is smaller than the sum of its proper divisors (49552985876).

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

32220131004 is a wasteful number, since it uses less digits than its factorization.

32220131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32220131004 its reverse (40013102223), we get a palindrome (72233233227).

The spelling of 32220131004 in words is "thirty-two billion, two hundred twenty million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 433 739 866 1299 1478 1732 2217 2598 2797 2956 3897 4434 5196 5594 6651 7794 8391 8868 11188 13302 15588 16782 25173 26604 33564 50346 100692 319987 639974 959961 1211101 1279948 1919922 2066983 2422202 2879883 3633303 3839844 4133966 4844404 5759766 6200949 7266606 8267932 10899909 11519532 12401898 14533212 18602847 21799818 24803796 37205694 43599636 74411388 895003639 1790007278 2685010917 3580014556 5370021834 8055032751 10740043668 16110065502 32220131004