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226215002211624 = 233225679122351923
BaseRepresentation
bin110011011011110111001000…
…110110011000010100101000
31002122221221110110020010002100
4303123313020312120110220
5214122301311031232444
62121041423134133400
765435331431445126
oct6333671066302450
91078857413203070
10226215002211624
1166096275376638
1221455b96651260
13992bca206346a
143dc0c16390916
151b24588431e69
hexcdbdc8d98528

226215002211624 has 48 divisors (see below), whose sum is σ = 612689494622400. Its totient is φ = 75402063674784.

The previous prime is 226215002211533. The next prime is 226215002211637. The reversal of 226215002211624 is 426112200512622.

226215002211624 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 1 + 5 + 0 + 0 + 2 + 21 + 1 + 624 = 666.

226215002211624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2262150022116242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59327074 + ... + 63024849.

It is an arithmetic number, because the mean of its divisors is an integer number (12764364471300).

Almost surely, 2226215002211624 is an apocalyptic number.

226215002211624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226215002211624 is an abundant number, since it is smaller than the sum of its proper divisors (386474492410776).

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

226215002211624 is a wasteful number, since it uses less digits than its factorization.

226215002211624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122377614 (or 122377607 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 226215002211624 in words is "two hundred twenty-six trillion, two hundred fifteen billion, two million, two hundred eleven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 25679 51358 77037 102716 154074 205432 231111 308148 462222 616296 924444 1848888 122351923 244703846 367055769 489407692 734111538 978815384 1101167307 1468223076 2202334614 2936446152 4404669228 8809338456 3141875030717 6283750061434 9425625092151 12567500122868 18851250184302 25135000245736 28276875276453 37702500368604 56553750552906 75405000737208 113107501105812 226215002211624