Search a number
-
+
22011021032 = 23711132211433
BaseRepresentation
bin10100011111111101…
…011000011011101000
32002210222121201111012
4110133331120123220
5330034310133112
614040044323052
71406311406660
oct243775303350
962728551435
1022011021032
119375713980
124323543488
1320ca210500
1410cb40d1a0
1588c5a9022
hex51ff586e8

22011021032 has 96 divisors (see below), whose sum is σ = 55717087680. Its totient is φ = 7916014080.

The previous prime is 22011021023. The next prime is 22011021041. The reversal of 22011021032 is 23012011022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22011021023) and next prime (22011021041).

It is a super-2 number, since 2×220110210322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22011020998 and 22011021016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613 + ... + 209820.

It is an arithmetic number, because the mean of its divisors is an integer number (580386330).

Almost surely, 222011021032 is an apocalyptic number.

22011021032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858543840).

22011021032 is an abundant number, since it is smaller than the sum of its proper divisors (33706066648).

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

22011021032 is a wasteful number, since it uses less digits than its factorization.

22011021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211483 (or 211466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22011021032 its reverse (23012011022), we get a palindrome (45023032054).

It can be divided in two parts, 220110 and 21032, that added together give a palindrome (241142).

The spelling of 22011021032 in words is "twenty-two billion, eleven million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1352 1859 2002 2366 3718 4004 4732 7436 8008 9464 13013 14872 26026 52052 104104 211433 422866 845732 1480031 1691464 2325763 2748629 2960062 4651526 5497258 5920124 9303052 10994516 11840248 16280341 18606104 19240403 21989032 30234919 32560682 35732177 38480806 60469838 65121364 71464354 76961612 120939676 130242728 142928708 153923224 211644433 241879352 250125239 285857416 393053947 423288866 500250478 786107894 846577732 1000500956 1572215788 1693155464 2001001912 2751377629 3144431576 5502755258 11005510516 22011021032